Prime p₀= 780953129175288479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 52 2 94 2 10 2 46 2 (?)
a_n: 0 2 12 14 48 50 102 104 198 200 210 212 258 260
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: 260
Found by: [SG]steini
db: batch=73, k=14, 10 34 52 94 10 46

SPT(16)	780951946973419967	0 30 32 62 140 152 230 252 314 336 414 426 504 534 536 566	-1182201868512
SPT(16)	780952715538795589	0 28 54 58 138 154 168 210 292 334 348 364 444 448 474 502	-413636492890
TPT(14)	780952716228807371	0 2 18 20 30 32 198 200 300 302 366 368 426 428	-412946481108
SPT(16)	780952951389154391	0 2 50 78 80 116 126 128 150 152 162 198 200 228 276 278	-177786134088
STPT(10)	780953072497157627	0 2 60 62 72 74 84 86 144 146	-56678130852
SPT(16)	780953088829038841	0 16 42 58 100 172 178 192 196 210 216 288 330 346 372 388	-40346249638
SPT(16)	780953155118135147	0 2 42 96 102 126 152 170 222 240 266 290 296 350 390 392	25942846668
SPT(16)	780953191872106697	0 12 14 80 90 122 132 152 204 224 234 266 276 342 344 356	62696818218
STPT(10)	780953708263588967	0 2 120 122 162 164 204 206 324 326	579088300488
STPT(10)	780953972455065551	0 2 6 8 18 20 30 32 36 38	843279777072
SPT(16)	780954055125297751	0 40 78 120 166 190 196 208 210 222 228 252 298 340 378 418	925950009272