Prime p₀= 2250904017660019151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 208 2 10 2 76 2 118 2 (?)
a_n: 0 2 48 50 78 80 288 290 300 302 378 380 498 500
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: 500
Found by: JayPi
db: batch=81, k=14, 46 28 208 10 76 118

SPT(16)	2250902809804339387	0 6 30 46 54 64 100 102 184 186 222 232 240 256 280 286	-1207855679764
SPT(16)	2250903079515710897	0 12 14 30 140 170 182 222 314 354 366 396 506 522 524 536	-938144308254
STPT(10)	2250903369684501419	0 2 18 20 30 32 42 44 60 62	-647975517732
SPT(16)	2250903515044906289	0 2 8 38 84 144 152 170 192 210 218 278 324 354 360 362	-502615112862
TPT(14)	2250903537943707401	0 2 60 62 108 110 210 212 228 230 360 362 366 368	-479716311750
SPT(16)	2250903681967632421	0 16 30 46 58 60 70 78 100 108 118 120 132 148 162 178	-335692386730
STPT(10)	2250904156520828057	0 2 30 32 42 44 54 56 84 86	138860808906
STPT(10)	2250904330108565447	0 2 30 32 42 44 54 56 84 86	312448546296
SPT(16)	2250904379444205869	0 20 42 44 48 54 60 98 114 152 158 164 168 170 192 212	361784186718
SPT(16)	2250904471772150353	0 18 48 70 90 106 136 144 220 228 258 274 294 316 346 364	454112131202
SPT(16)	2250904511730759481	0 10 16 36 78 88 108 126 130 148 168 178 220 240 246 256	494070740330