Prime p₀= 2712635146004058557 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 40 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 102 104 120 122 162 164
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: 164
Found by: JayPi
db: batch=82, k=12, 2 40 2 16 2 40

STPT(10)	2712634712437553159	0 2 12 14 90 92 168 170 180 182	-433566505398
STPT(10)	2712634857912135599	0 2 18 20 60 62 102 104 120 122	-288091922958
STPT(10)	2712634995817883567	0 2 54 56 72 74 90 92 144 146	-150186174990
SPT(16)	2712635020258693207	0 46 52 60 90 94 126 130 156 160 192 196 226 234 240 286	-125745365350
SPT(16)	2712635055905567887	0 34 70 72 76 132 142 174 232 264 274 330 334 336 372 406	-90098490670
STPT(10)	2712635105872657331	0 2 36 38 78 80 120 122 156 158	-40131401226
STPT(10)	2712636153855926861	0 2 96 98 138 140 180 182 276 278	1007851868304
STPT(10)	2712636155234565641	0 2 6 8 48 50 90 92 96 98	1009230507084
SPT(16)	2712636259833895781	0 2 36 68 86 116 126 128 150 152 162 192 210 242 276 278	1113829837224
SPT(16)	2712636548240999803	0 24 36 78 100 108 120 124 150 154 166 174 196 238 250 274	1402236941246
SPT(16)	2712636560356341271	0 16 46 58 60 100 102 132 226 256 258 298 300 312 342 358	1414352282714