Prime p₀= 1016266663687926437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 64 2 28 2 22 2 (?)
a_n: 0 2 12 14 42 44 54 56 120 122 150 152 174 176
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: 176
Found by: stoneageman
db: batch=76, k=14, 10 28 10 64 28 22

STPT(10)	1016265919467768659	0 2 18 20 30 32 42 44 60 62	-744220157778
SPT(16)	1016266220120955169	0 4 88 108 120 150 172 174 298 300 322 352 364 384 468 472	-443566971268
SPT(16)	1016266291189461047	0 14 60 84 92 114 140 162 164 186 212 234 242 266 312 326	-372498465390
STPT(10)	1016266324296291329	0 2 18 20 30 32 42 44 60 62	-339391635108
SPT(16)	1016266470073624459	0 60 70 88 100 120 228 238 240 250 358 378 390 408 418 478	-193614301978
STPT(10)	1016266480880621987	0 2 30 32 120 122 210 212 240 242	-182807304450
STPT(10)	1016266788776831477	0 2 30 32 42 44 54 56 84 86	125088905040
SPT(16)	1016266839397719491	0 18 38 80 86 110 126 128 138 140 156 180 186 228 248 266	175709793054
SPT(16)	1016266929974416229	0 30 42 98 102 128 132 134 168 170 174 200 204 260 272 302	266286489792
SPT(16)	1016267002227044459	0 2 8 42 104 110 114 150 152 188 192 198 260 294 300 302	338539118022
SPT(16)	1016267140446620281	0 6 22 36 48 58 60 70 108 118 120 130 142 156 172 178	476758693844