Prime p₀= 953028609660421211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 16 2 40 2 40 2 28 2 (?)
a_n: 0 2 66 68 108 110 126 128 168 170 210 212 240 242
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: HenkM
db: batch=76, k=14, 64 40 16 40 40 28

STPT(10)	953027369913661919	0 2 30 32 60 62 90 92 120 122	-1239746759292
SPT(16)	953027854089081079	0 22 30 58 64 78 124 144 148 168 214 228 234 262 270 292	-755571340132
SPT(16)	953027894414373991	0 6 10 28 70 118 148 162 166 180 210 258 300 318 322 328	-715246047220
SPT(16)	953028161161111433	0 6 26 38 66 68 90 98 138 146 168 170 198 210 230 236	-448499309778
SPT(16)	953028232896682417	0 54 112 114 124 142 154 186 250 282 294 312 322 324 382 436	-376763738794
SPT(16)	953028431994741133	0 54 78 94 96 100 108 120 184 196 204 208 210 226 250 304	-177665680078
STPT(10)	953028675155119271	0 2 36 38 78 80 120 122 156 158	65494698060
STPT(10)	953028737006202317	0 2 24 26 42 44 60 62 84 86	127345781106
SPT(16)	953029373114304433	0 30 34 76 90 96 124 126 154 156 184 190 204 246 250 280	763453883222
SPT(16)	953029741959986917	0 4 10 22 70 72 100 106 150 156 184 186 234 246 252 256	1132299565706
STPT(10)	953030070427308059	0 2 18 20 30 32 42 44 60 62	1460766886848