Prime p₀= 2515669236642511799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 22 2 16 2 58 2 76 2 (?)
a_n: 0 2 78 80 108 110 132 134 150 152 210 212 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 76 28 22 16 58 76

SPT(16)	2515667812140038047	0 22 30 34 52 90 100 112 114 126 136 174 192 196 204 226	-1424502473752
SPT(16)	2515668006617158243	0 4 34 58 114 154 204 214 240 250 300 340 396 420 450 454	-1230025353556
SPT(16)	2515668682574573621	0 12 32 68 72 78 120 140 198 218 260 266 270 306 326 338	-554067938178
STPT(10)	2515668709259980247	0 2 30 32 42 44 54 56 84 86	-527382531552
SPT(16)	2515668882835949681	0 8 12 26 60 66 68 96 122 150 152 158 192 206 210 218	-353806562118
SPT(16)	2515668915439885657	0 30 82 96 102 132 144 162 334 352 364 394 400 414 466 496	-321202626142
STPT(10)	2515669503333642779	0 2 12 14 90 92 168 170 180 182	266691130980
STPT(10)	2515669928721491147	0 2 12 14 72 74 132 134 144 146	692078979348
SPT(16)	2515670040462566171	0 18 20 48 66 86 116 122 126 132 162 182 200 228 230 248	803820054372
STPT(10)	2515670231924598167	0 2 12 14 42 44 72 74 84 86	995282086368
STPT(10)	2515670386344344861	0 2 30 32 78 80 126 128 156 158	1149701833062