Prime p₀= 341884196668521431 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 136 2 28 2 40 2 28 2 4 2 (?)
a_n: 0 2 138 140 168 170 210 212 240 242 246 248
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: 248
Found by: Boliver
db: batch=70, k=12, 136 28 40 28 4

SPT(14)	341884096145925379	0 4 12 30 40 48 82 90 124 132 142 160 168 172	-100522596052
SPT(14)	341884096547311687	0 6 40 46 64 70 84 166 180 186 204 210 244 250	-100121209744
SPT(14)	341884125094383307	0 100 102 106 156 210 216 226 232 286 336 340 342 442	-71574138124
SPT(14)	341884129992641891	0 20 26 30 32 42 72 116 146 156 158 162 168 188	-66675879540
SPT(14)	341884158375751949	0 12 18 42 48 60 68 132 140 152 158 182 188 200	-38292769482
SPT(14)	341884194748595689	0 82 88 102 142 178 264 268 354 390 430 444 450 532	-1919925742
SPT(14)	341884198576776017	0 2 26 60 74 122 126 140 144 192 206 240 264 266	1908254586
TPT(12)	341884207170885647	0 2 30 32 72 74 90 92 132 134 162 164	10502364216
STPT(12)	341884207170885647	0 2 30 32 72 74 90 92 132 134 162 164	10502364216
SPT(16)	341884208449384739	0 12 24 50 98 110 134 224 228 318 342 354 402 428 440 452	11780863308
TPT(12)	341884212985540319	0 2 42 44 48 50 78 80 90 92 162 164	16317018888