Prime p₀= 2488174294577809181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 16 2 70 2 10 2 28 2 4 2 (?)
a_n: 0 2 108 110 126 128 198 200 210 212 240 242 246 248
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: 248
Found by: [SG-FC] hl
db: batch=82, k=14, 106 16 70 10 28 4

SPT(16)	2488172814715977607	0 64 82 96 162 180 232 256 270 294 346 364 430 444 462 526	-1479861831574
SPT(16)	2488173007266481553	0 44 56 84 116 120 128 144 170 186 194 198 230 258 270 314	-1287311327628
SPT(13)	2488173260841204637	0 30 42 72 126 150 156 162 186 240 270 282 312	-1033736604544
STPT(10)	2488173281805805409	0 2 12 14 30 32 48 50 60 62	-1012772003772
SPT(16)	2488174131942857851	0 10 22 30 58 100 126 132 136 142 168 210 238 246 258 268	-162634951330
SPT(16)	2488174213336886821	0 70 180 186 192 196 208 252 256 300 312 316 322 328 438 508	-81240922360
SPT(16)	2488174515595285981	0 46 102 118 150 162 190 192 256 258 286 298 330 346 402 448	221017476800
TPT(14)	2488174750025597909	0 2 42 44 78 80 90 92 108 110 168 170 222 224	455447788728
SPT(16)	2488174751141212717	0 16 82 112 114 136 150 184 342 376 390 412 414 444 510 526	456563403536
SPT(16)	2488174903117635007	0 22 64 72 150 156 174 196 240 262 280 286 364 372 414 436	608539825826
TPT(14)	2488175742152555657	0 2 12 14 180 182 222 224 234 236 270 272 360 362	1447574746476