Prime p₀= 957754742975733557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 28 2 46 2 88 2 10 2 (?)
a_n: 0 2 72 74 84 86 114 116 162 164 252 254 264 266
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: 266
Found by: suriv
db: batch=76, k=14, 70 10 28 46 88 10

SPT(16)	957754452270533843	0 8 38 44 48 60 66 80 84 98 104 116 120 126 156 164	-290705199714
STPT(10)	957754648269652967	0 2 24 26 42 44 60 62 84 86	-94706080590
STPT(16)	957754658463173321	0 2 48 50 60 62 90 92 126 128 156 158 168 170 216 218	-84512560236
TPT(16)	957754658463173321	0 2 48 50 60 62 90 92 126 128 156 158 168 170 216 218	-84512560236
SPT(16)	957754658463173321	0 2 48 50 60 62 90 92 126 128 156 158 168 170 216 218	-84512560236
SPT(16)	957754715685724057	0 22 82 84 100 142 160 162 202 204 222 264 280 282 342 364	-27290009500
SPT(16)	957755517891465889	0 60 78 138 150 154 178 198 304 324 348 352 364 424 442 502	774915732332
TPT(14)	957755955051565427	0 2 30 32 84 86 90 92 114 116 132 134 174 176	1212075831870
STPT(10)	957755993759830607	0 2 24 26 42 44 60 62 84 86	1250784097050
SPT(16)	957756051396313289	0 18 24 42 60 68 120 138 164 182 234 242 260 278 284 302	1308420579732
TPT(14)	957756082147543799	0 2 30 32 72 74 150 152 162 164 198 200 222 224	1339171810242