Prime p₀= 1034959837273036097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 40 2 58 2 16 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 192 194 210 212
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: 212
Found by: Theadalus
db: batch=76, k=14, 10 40 34 40 58 16

SPT(16)	1034958996057115963	0 10 18 36 96 130 144 150 184 190 204 238 298 316 324 334	-841215920134
STPT(10)	1034959045751516657	0 2 90 92 102 104 114 116 204 206	-791521519440
SPT(16)	1034959143328508089	0 18 42 60 72 108 132 138 172 178 202 238 250 268 292 310	-693944528008
SPT(16)	1034959161339576247	0 22 34 42 54 64 76 120 136 180 192 202 214 222 234 256	-675933459850
SPT(16)	1034959536438459509	0 8 48 54 78 104 108 120 182 194 198 224 248 254 294 302	-300834576588
SPT(16)	1034959685018129723	0 54 116 206 224 240 254 276 284 306 320 336 354 444 506 560	-152254906374
STPT(10)	1034959883791662779	0 2 18 20 30 32 42 44 60 62	46518626682
TPT(14)	1034959978173468491	0 2 48 50 126 128 180 182 198 200 210 212 216 218	140900432394
STPT(10)	1034960709966534887	0 2 30 32 42 44 54 56 84 86	872693498790
SPT(16)	1034960841712140757	0 30 42 64 72 112 120 150 196 226 234 274 282 304 316 346	1004439104660
TPT(14)	1034961011464091627	0 2 42 44 102 104 114 116 144 146 234 236 282 284	1174191055530