Prime p₀= 2704150697640974297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 202 2 4 2 70 2 58 2 70 2 256 2 (?)
a_n: 0 2 204 206 210 212 282 284 342 344 414 416 672 674
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: 674
Found by: JayPi
db: batch=82, k=14, 202 4 70 58 70 256

SPT(16)	2704149421413276077	0 50 54 80 114 140 150 302 324 476 486 512 546 572 576 626	-1276227698220
SPT(16)	2704149693358853737	0 6 12 60 82 84 90 180 196 286 292 294 316 364 370 376	-1004282120560
SPT(16)	2704149946626446749	0 12 58 60 118 124 148 162 250 264 288 294 352 354 400 412	-751014527548
TPT(14)	2704150069404912047	0 2 84 86 150 152 162 164 174 176 192 194 204 206	-628236062250
SPT(16)	2704150118634778579	0 12 28 30 42 94 100 142 150 192 198 250 262 264 280 292	-579006195718
SPT(16)	2704150504900312067	0 6 32 90 122 146 164 194 222 252 270 294 326 384 410 416	-192740662230
STPT(10)	2704151935838616407	0 2 42 44 72 74 102 104 144 146	1238197642110
SPT(16)	2704152435491617037	0 2 26 42 50 96 126 132 140 146 176 222 230 246 270 272	1737850642740
STPT(10)	2704152696970636271	0 2 6 8 48 50 90 92 96 98	1999329661974
STPT(10)	2704152876899785187	0 2 30 32 60 62 90 92 120 122	2179258810890
SPT(16)	2704153347464112371	0 6 20 42 62 116 158 198 200 240 282 336 356 378 392 398	2649823138074