Prime p₀= 2570412691060724591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 4 2 58 2 22 2 28 2 (?)
a_n: 0 2 30 32 90 92 96 98 156 158 180 182 210 212
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: 212
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 58 4 58 22 28

SPT(16)	2570411225956042739	0 2 12 48 50 62 72 102 128 158 168 180 182 218 228 230	-1465104681852
STPT(10)	2570411412528407387	0 2 30 32 60 62 90 92 120 122	-1278532317204
SPT(16)	2570411437163071897	0 22 64 132 204 226 244 262 264 282 300 322 394 462 504 526	-1253897652694
SPT(16)	2570411579445129899	0 20 50 72 90 98 152 168 182 198 252 260 278 300 330 350	-1111615594692
SPT(16)	2570411615330652263	0 8 18 48 108 126 156 198 218 260 290 308 368 398 408 416	-1075730072328
SPT(16)	2570411907125807029	0 42 94 102 120 132 178 190 192 204 250 262 280 288 340 382	-783934917562
SPT(16)	2570413032699542837	0 6 14 24 60 74 80 92 114 126 132 146 182 192 200 206	341638818246
STPT(10)	2570413226910640169	0 2 42 44 60 62 78 80 120 122	535849915578
STPT(10)	2570413591235225081	0 2 90 92 108 110 126 128 216 218	900174500490
SPT(16)	2570414015721637177	0 22 100 120 124 144 184 190 204 210 250 270 274 294 372 394	1324660912586
SPT(16)	2570414165324146621	0 22 42 76 78 132 138 186 232 280 286 340 342 376 396 418	1474263422030