Prime p₀= 286370297092931 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 106 2 82 2 58 2 4 2 (?)
a_n: 0 2 78 80 186 188 270 272 330 332 336 338
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: 338
Found by: Jeff17
db: batch=60, k=12, 76 106 82 58 4

SPT(14)	286349200379779	0 34 78 118 172 210 232 270 292 330 384 424 468 502	-21096713152
SPT(14)	286354853638877	0 30 62 66 72 80 102 104 126 134 140 144 176 206	-15443454054
SPT(14)	286355468389163	0 8 38 50 54 60 68 90 98 104 108 120 150 158	-14828703768
SPT(16)	286356829368391	0 6 42 48 60 78 82 106 192 216 220 238 250 256 292 298	-13467724540
STPT(10)	286357884557411	0 2 6 8 18 20 30 32 36 38	-12412535520
SPT(14)	286366500432527	0 6 12 20 30 42 62 120 140 152 162 170 176 182	-3796660404
SPT(14)	286373430667783	0 4 28 40 60 70 96 118 144 154 174 186 210 214	3133574852
SPT(14)	286374312231383	0 18 36 38 56 78 84 140 146 168 186 188 206 224	4015138452
SPT(14)	286375576993673	0 26 30 68 90 110 116 138 144 164 186 224 228 254	5279900742
SPT(14)	286376355803233	0 36 48 54 100 114 120 154 160 174 220 226 238 274	6058710302
TPT(12)	286382135013761	0 2 78 80 90 92 96 98 150 152 276 278	11837920830