Prime p₀= 57415419930602021 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 40 2 76 2 10 2 40 2 (?)
a_n: 0 2 36 38 78 80 156 158 168 170 210 212
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: 212
Found by: stoneageman
db: batch=67, k=12, 34 40 76 10 40

SPT(14)	57415398763496717	0 30 56 66 74 140 144 206 210 276 284 294 320 350	-21167105304
TPT(14)	57415403529033677	0 2 12 14 72 74 114 116 162 164 204 206 210 212	-16401568344
TPT(12)	57415403944247729	0 2 42 44 48 50 78 80 132 134 162 164	-15986354292
SPT(16)	57415404534110431	0 22 72 78 100 106 112 130 138 156 162 168 190 196 246 268	-15396491590
TPT(12)	57415406399399021	0 2 30 32 78 80 108 110 150 152 180 182	-13531203000
SPT(14)	57415412734561351	0 12 18 46 72 88 108 130 150 166 192 220 226 238	-7196040670
TPT(12)	57415435391210201	0 2 48 50 90 92 138 140 180 182 186 188	15460608180
SPT(14)	57415442096696861	0 2 6 42 50 78 92 126 140 168 176 212 216 218	22166094840
SPT(14)	57415445874469591	0 52 90 102 142 160 192 286 318 336 376 388 426 478	25943867570
TPT(12)	57415458121174367	0 2 42 44 60 62 84 86 90 92 240 242	38190572346
SPT(14)	57415461401174267	0 20 66 80 114 140 144 152 156 182 216 230 276 296	41470572246