Prime p₀= 2258970057349395161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 46 2 28 2 70 2 106 2 (?)
a_n: 0 2 48 50 78 80 126 128 156 158 228 230 336 338
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: 338
Found by: JayPi
db: batch=81, k=14, 46 28 46 28 70 106

TPT(14)	2258969357465812337	0 2 150 152 222 224 234 236 300 302 342 344 390 392	-699883582824
STPT(10)	2258969387099386007	0 2 12 14 72 74 132 134 144 146	-670250009154
SPT(16)	2258969442112017253	0 6 10 34 36 64 76 78 166 168 180 208 210 234 238 244	-615237377908
SPT(16)	2258969873150911309	0 4 28 42 54 64 78 100 102 124 138 148 160 174 198 202	-184198483852
STPT(10)	2258969903401336421	0 2 6 8 18 20 30 32 36 38	-153948058740
SPT(16)	2258969945067104263	0 46 66 96 124 148 154 166 168 180 186 210 238 268 288 334	-112282290898
STPT(10)	2258970141850135559	0 2 18 20 30 32 42 44 60 62	84500740398
STPT(10)	2258970472320583949	0 2 48 50 90 92 132 134 180 182	414971188788
SPT(16)	2258971057567351943	0 30 36 60 128 156 176 204 260 288 308 336 404 428 434 464	1000217956782
STPT(10)	2258971082771086511	0 2 36 38 78 80 120 122 156 158	1025421691350
SPT(16)	2258971091615649769	0 4 40 130 172 190 198 208 294 304 312 330 372 462 498 502	1034266254608