Prime p₀= 1095500521012474037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 106 2 16 2 28 2 82 2 (?)
a_n: 0 2 24 26 114 116 222 224 240 242 270 272 354 356
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: 356
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 22 88 106 16 28 82

SPT(16)	1095498490424750597	0 6 50 54 56 66 80 84 92 96 110 120 122 126 170 176	-2030587723440
STPT(10)	1095498538025610581	0 2 36 38 78 80 120 122 156 158	-1982986863456
SPT(16)	1095498797873485231	0 18 22 30 36 42 72 102 256 286 316 322 328 336 340 358	-1723138988806
STPT(10)	1095499061684924327	0 2 54 56 72 74 90 92 144 146	-1459327549710
SPT(16)	1095499586082342587	0 12 26 84 86 116 126 132 194 200 210 240 242 300 314 326	-934930131450
SPT(16)	1095500438101421477	0 30 54 72 90 132 140 230 264 354 362 404 422 440 464 494	-82911052560
SPT(16)	1095500749267753663	0 4 58 66 84 118 130 136 168 174 186 220 238 246 300 304	228255279626
SPT(18)	1095500777802776797	0 6 30 60 82 96 102 126 130 156 160 184 190 204 226 256 280 286	256790302760
TPT(14)	1095500823092774489	0 2 72 74 138 140 180 182 198 200 222 224 450 452	302080300452
STPT(10)	1095500830041670079	0 2 18 20 30 32 42 44 60 62	309029196042
SPT(13)	1095501541332356239	0 12 60 90 102 120 132 144 162 174 204 252 264	1020319882202