Prime p₀= 857491426145834771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 4 2 28 2 28 2 70 2 (?)
a_n: 0 2 18 20 90 92 96 98 126 128 156 158 228 230
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: 230
Found by: arkiss
db: batch=73, k=14, 16 70 4 28 28 70

SPT(16)	857490470491773607	0 24 30 40 42 46 52 82 114 144 150 154 156 166 172 196	-955654061164
SPT(16)	857490549093786019	0 42 112 114 132 172 184 268 294 378 390 430 448 450 520 562	-877052048752
SPT(16)	857490599953990291	0 18 28 58 108 120 126 148 198 220 226 238 288 318 328 346	-826191844480
SPT(16)	857490862758670717	0 30 52 84 106 114 162 192 244 274 322 330 352 384 406 436	-563387164054
SPT(16)	857491296895679569	0 22 40 54 70 100 138 160 162 184 222 252 268 282 300 322	-129250155202
STPT(10)	857491418550514217	0 2 30 32 42 44 54 56 84 86	-7595320554
TPT(14)	857491436212312511	0 2 36 38 78 80 96 98 210 212 240 242 330 332	10066477740
SPT(16)	857491443556110619	0 18 34 58 70 112 172 198 244 270 330 372 384 408 424 442	17410275848
STPT(10)	857492021077402169	0 2 18 20 30 32 42 44 60 62	594931567398
STPT(12)	857492370116200067	0 2 12 14 30 32 54 56 72 74 84 86	943970365296
SPT(16)	857492653671294727	0 4 34 42 72 132 160 202 294 336 364 424 454 462 492 496	1227525459956