Prime p₀= 57415435391210201 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 40 2 46 2 40 2 4 2 (?)
a_n: 0 2 48 50 90 92 138 140 180 182 186 188
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: 188
Found by: stoneageman
db: batch=67, k=12, 46 40 46 40 4

TPT(14)	57415403529033677	0 2 12 14 72 74 114 116 162 164 204 206 210 212	-31862176524
TPT(12)	57415403944247729	0 2 42 44 48 50 78 80 132 134 162 164	-31446962472
SPT(16)	57415404534110431	0 22 72 78 100 106 112 130 138 156 162 168 190 196 246 268	-30857099770
TPT(12)	57415406399399021	0 2 30 32 78 80 108 110 150 152 180 182	-28991811180
SPT(14)	57415412734561351	0 12 18 46 72 88 108 130 150 166 192 220 226 238	-22656648850
TPT(12)	57415419930602021	0 2 36 38 78 80 156 158 168 170 210 212	-15460608180
SPT(14)	57415442096696861	0 2 6 42 50 78 92 126 140 168 176 212 216 218	6705486660
SPT(14)	57415445874469591	0 52 90 102 142 160 192 286 318 336 376 388 426 478	10483259390
TPT(12)	57415458121174367	0 2 42 44 60 62 84 86 90 92 240 242	22729964166
SPT(14)	57415461401174267	0 20 66 80 114 140 144 152 156 182 216 230 276 296	26009964066
TPT(12)	57415488623039507	0 2 30 32 42 44 204 206 240 242 270 272	53231829306