Prime p₀= 3216085849078186319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 58 2 46 2 16 2 112 2 (?)
a_n: 0 2 42 44 72 74 132 134 180 182 198 200 312 314
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: 314
Found by: conf [MM]
db: batch=83, k=14, 40 28 58 46 16 112

SPT(16)	3216083447116302491	0 68 72 86 110 122 128 150 158 180 186 198 222 236 240 308	-2401961883828
SPT(16)	3216083637731497343	0 18 24 48 66 74 110 114 140 144 180 188 206 230 236 254	-2211346688976
SPT(16)	3216083688996426931	0 40 42 60 70 88 96 132 166 202 210 228 238 256 258 298	-2160081759388
STPT(12)	3216083810577137999	0 2 30 32 42 44 78 80 90 92 120 122	-2038501048320
STPT(12)	3216085414956699119	0 2 18 20 42 44 48 50 72 74 90 92	-434121487200
SPT(16)	3216085466605989091	0 6 22 58 70 90 118 130 228 240 268 288 300 336 352 358	-382472197228
STPT(10)	3216085852290481139	0 2 12 14 30 32 48 50 60 62	3212294820
SPT(16)	3216085980999428461	0 16 36 58 106 130 162 196 222 256 288 312 360 382 402 418	131921242142
SPT(16)	3216086128906315897	0 12 16 46 52 64 154 156 220 222 312 324 330 360 364 376	279828129578
STPT(10)	3216086170762006979	0 2 48 50 90 92 132 134 180 182	321683820660
STPT(10)	3216086248750319171	0 2 6 8 108 110 210 212 216 218	399672132852