Prime p₀= 1953523708996042241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 94 2 22 2 4 2 22 2 (?)
a_n: 0 2 78 80 90 92 186 188 210 212 216 218 240 242
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: JonS
db: batch=80, k=14, 76 10 94 22 4 22

STPT(12)	1953522237374742257	0 2 12 14 84 86 150 152 222 224 234 236	-1471621299984
SPT(16)	1953522454105780043	0 38 90 104 126 128 156 198 206 248 276 278 300 314 366 404	-1254890262198
STPT(10)	1953523045745568431	0 2 36 38 78 80 120 122 156 158	-663250473810
TPT(16)	1953523286909644577	0 2 72 74 84 86 114 116 162 164 282 284 294 296 330 332	-422086397664
STPT(10)	1953523430578812941	0 2 30 32 60 62 90 92 120 122	-278417229300
SPT(16)	1953523620250963261	0 22 28 30 72 90 106 112 216 222 238 256 298 300 306 328	-88745078980
STPT(10)	1953524143518666611	0 2 6 8 48 50 90 92 96 98	434522624370
STPT(10)	1953524403688856039	0 2 18 20 30 32 42 44 60 62	694692813798
SPT(16)	1953524409899712179	0 32 54 62 98 140 158 162 200 204 222 264 300 308 330 362	700903669938
SPT(16)	1953524891155581431	0 30 36 156 162 182 200 210 218 228 246 266 272 392 398 428	1182159539190
SPT(16)	1953525051463712239	0 30 52 64 100 108 142 148 204 210 244 252 288 300 322 352	1342467669998