Prime p₀= 11277862631641937 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 16 2 106 2 70 2 40 2 (?)
a_n: 0 2 84 86 102 104 210 212 282 284 324 326
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: 326
Found by: Fardringle
db: batch=62, k=12, 82 16 106 70 40

SPT(14)	11277827912778887	0 32 42 56 62 84 92 144 152 174 180 194 204 236	-34718863050
TPT(12)	11277835089264089	0 2 78 80 162 164 168 170 222 224 258 260	-27542377848
SPT(14)	11277852255005027	0 24 42 44 54 72 116 150 194 212 222 224 242 266	-10376636910
SPT(14)	11277853314859753	0 18 30 34 90 108 114 154 160 178 234 238 250 268	-9316782184
SPT(14)	11277853789110353	0 20 54 60 120 126 144 176 194 200 260 266 300 320	-8842531584
SPT(14)	11277858615356413	0 10 40 48 58 64 70 78 84 90 100 108 138 148	-4016285524
TPT(12)	11277865190864681	0 2 36 38 48 50 90 92 210 212 360 362	2559222744
SPT(14)	11277870890629111	0 28 30 40 58 66 70 156 160 168 186 196 198 226	8258987174
SPT(14)	11277875935020469	0 42 48 60 82 88 228 364 504 510 532 544 550 592	13303378532
SPT(14)	11277878146962979	0 18 24 28 70 84 94 144 154 168 210 214 220 238	15515321042
SPT(14)	11277886443923597	0 12 32 60 66 120 180 182 242 296 302 330 350 362	23812281660