Prime p₀= 22117676270130401 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 28 2 40 2 76 2 82 2 (?)
a_n: 0 2 6 8 36 38 78 80 156 158 240 242
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: ChelseaOilman
db: batch=65, k=12, 4 28 40 76 82

SPT(14)	22117595933702201	0 18 32 56 66 78 108 140 170 182 192 216 230 248	-80336428200
SPT(16)	22117605998189279	0 32 92 162 174 204 224 230 282 288 308 338 350 420 480 512	-70271941122
TPT(12)	22117642393346627	0 2 54 56 72 74 114 116 150 152 210 212	-33876783774
SPT(14)	22117644248836067	0 32 42 50 86 92 116 126 150 156 192 200 210 242	-32021294334
TPT(12)	22117674130953617	0 2 12 14 30 32 54 56 144 146 192 194	-2139176784
SPT(14)	22117675194991091	0 2 18 30 42 72 78 140 146 176 188 200 216 218	-1075139310
SPT(14)	22117695600883411	0 6 16 18 22 28 58 60 90 96 100 102 112 118	19330753010
SPT(14)	22117697247490711	0 18 42 52 88 96 102 166 172 180 216 226 250 268	20977360310
SPT(14)	22117701509571571	0 10 16 30 36 40 82 126 168 172 178 192 198 208	25239441170
TPT(12)	22117711582155149	0 2 42 44 48 50 72 74 132 134 210 212	35312024748
SPT(14)	22117723664824783	0 28 48 58 64 78 84 94 100 114 120 130 150 178	47394694382