Prime p₀= 1135053191640453191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 40 2 46 2 10 2 28 2 (?)
a_n: 0 2 78 80 108 110 150 152 198 200 210 212 240 242
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: 242
Found by: stoneageman
db: batch=76, k=14, 76 28 40 46 10 28

SPT(16)	1135051484564185031	0 2 6 8 138 158 162 188 210 236 240 260 390 392 396 398	-1707076268160
STPT(10)	1135051890437424821	0 2 36 38 78 80 120 122 156 158	-1301203028370
SPT(16)	1135052052982722577	0 22 30 52 76 114 120 156 160 196 202 240 264 286 294 316	-1138657730614
SPT(16)	1135052341110196283	0 20 24 54 56 90 126 134 150 158 194 228 230 260 264 284	-850530256908
STPT(10)	1135052833261472897	0 2 30 32 72 74 114 116 144 146	-358378980294
SPT(16)	1135052928216153697	0 24 36 60 66 106 130 136 210 216 240 280 286 310 322 346	-263424299494
STPT(10)	1135053271403512091	0 2 36 38 78 80 120 122 156 158	79763058900
SPT(16)	1135053333705221869	0 24 42 58 72 94 112 124 168 180 198 220 234 250 268 292	142064768678
STPT(10)	1135053370392300167	0 2 12 14 42 44 72 74 84 86	178751846976
STPT(10)	1135053423000109577	0 2 30 32 42 44 54 56 84 86	231359656386
TPT(14)	1135053633234315437	0 2 12 14 24 26 84 86 144 146 222 224 282 284	441593862246