Prime p₀= 22146601953653627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 28 2 76 2 52 2 76 2 (?)
a_n: 0 2 102 104 132 134 162 164 240 242 294 296 372 374
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: 374
Found by: ChelseaOilman
db: batch=65, k=14, 100 28 28 76 52 76

TPT(12)	22146569619732431	0 2 18 20 126 128 210 212 228 230 240 242	-32333921196
TPT(12)	22146572378044241	0 2 78 80 138 140 150 152 156 158 210 212	-29575609386
TPT(12)	22146577418207519	0 2 12 14 30 32 102 104 258 260 270 272	-24535446108
SPT(14)	22146580349143373	0 30 54 56 68 84 90 134 140 156 168 170 194 224	-21604510254
SPT(14)	22146595785940273	0 4 6 84 96 114 118 126 130 148 160 238 240 244	-6167713354
SPT(14)	22146601292348339	0 32 44 92 104 182 248 294 360 438 450 498 510 542	-661305288
SPT(14)	22146626728078297	0 40 42 46 54 76 82 174 180 202 210 214 216 256	24774424670
TPT(12)	22146638339132057	0 2 84 86 90 92 132 134 210 212 252 254	36385478430
SPT(14)	22146638700864703	0 34 48 70 84 90 114 124 148 154 168 190 204 238	36747211076
TPT(12)	22146648441354011	0 2 120 122 126 128 156 158 198 200 318 320	46487700384
SPT(14)	22146653620697561	0 18 20 30 98 140 168 230 258 300 368 378 380 398	51667043934