Prime p₀= 1057000975678722161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 130 2 64 2 52 2 4 2 (?)
a_n: 0 2 36 38 48 50 180 182 246 248 300 302 306 308
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: 308
Found by: vinn@[CNT]
db: batch=76, k=14, 34 10 130 64 52 4

SPT(16)	1056999508511851043	0 14 74 140 156 164 206 210 230 234 276 284 300 366 426 440	-1467166871118
STPT(10)	1056999867045625829	0 2 18 20 30 32 42 44 60 62	-1108633096332
SPT(16)	1056999915757140539	0 18 30 42 78 90 132 140 192 200 242 254 290 302 314 332	-1059921581622
STPT(10)	1056999937279660769	0 2 48 50 90 92 132 134 180 182	-1038399061392
SPT(16)	1057000882802075593	0 4 16 18 30 46 48 114 130 196 198 214 226 228 240 244	-92876646568
STPT(10)	1057000883229200879	0 2 48 50 90 92 132 134 180 182	-92449521282
STPT(10)	1057001291907719441	0 2 6 8 48 50 90 92 96 98	316228997280
TPT(14)	1057001420938779191	0 2 36 38 78 80 96 98 108 110 120 122 198 200	445260057030
SPT(16)	1057001776800045677	0 30 56 66 72 90 102 126 146 170 182 200 206 216 242 272	801121323516
STPT(10)	1057001925172076711	0 2 36 38 78 80 120 122 156 158	949493354550
STPT(10)	1057002304833530057	0 2 30 32 60 62 90 92 120 122	1329154807896