Prime p₀= 1816127275120098881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 100 2 76 2 16 2 118 2 (?)
a_n: 0 2 90 92 108 110 210 212 288 290 306 308 426 428
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 428
Found by: [AF] Kalianthys
db: batch=79, k=14, 88 16 100 76 16 118

SPT(16)	1816126209734638469	0 30 48 92 108 122 128 150 230 252 258 272 288 332 350 380	-1065385460412
SPT(16)	1816126622412025603	0 4 10 18 94 120 124 180 238 294 298 324 400 408 414 418	-652708073278
SPT(16)	1816126699970621149	0 18 24 52 82 88 102 118 234 250 264 270 300 328 334 352	-575149477732
SPT(16)	1816126929925383391	0 10 12 28 30 52 82 88 150 156 186 208 210 226 228 238	-345194715490
SPT(16)	1816127017539099763	0 40 70 84 108 114 144 190 354 400 430 436 460 474 504 544	-257580999118
SPT(20)	1816127047730708639	0 2 14 44 54 68 80 108 120 134 168 182 194 222 234 248 258 288 300 302	-227389390242
SPT(16)	1816127492301201907	0 22 72 94 102 106 144 154 192 202 240 244 252 274 324 346	217181103026
SPT(16)	1816127654952229907	0 12 72 80 176 182 296 312 344 360 474 480 576 584 644 656	379832131026
SPT(16)	1816127813865622921	0 52 112 130 156 180 186 222 226 262 268 292 318 336 396 448	538745524040
SPT(16)	1816127983755442633	0 6 40 78 106 118 168 180 346 358 408 420 448 486 520 526	708635343752
STPT(10)	1816128399474483737	0 2 24 26 42 44 60 62 84 86	1124354384856