Prime p₀= 205963035829254971 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 10 2 88 2 10 2 94 2 (?)
a_n: 0 2 66 68 78 80 168 170 180 182 276 278
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: 278
Found by: desktop64
db: batch=69, k=12, 64 10 88 10 94

SPT(14)	205962937503519641	0 26 30 32 78 86 90 98 102 110 156 158 162 188	-98325735330
SPT(14)	205962965882276437	0 22 42 52 70 94 106 120 132 156 174 184 204 226	-69946978534
SPT(14)	205962967591875863	0 24 36 78 80 90 108 116 134 144 146 188 200 224	-68237379108
SPT(14)	205962972419660473	0 28 34 36 64 118 124 150 156 210 238 240 246 274	-63409594498
SPT(14)	205962973154931959	0 2 30 38 42 50 98 102 150 158 162 170 198 200	-62674323012
SPT(14)	205963010477222701	0 28 42 48 112 132 148 180 196 216 280 286 300 328	-25352032270
TPT(12)	205963041480759347	0 2 30 32 42 44 72 74 114 116 180 182	5651504376
SPT(14)	205963041697707271	0 28 66 108 126 138 160 168 190 202 220 262 300 328	5868452300
SPT(14)	205963067632814743	0 18 66 84 94 136 138 166 168 210 220 238 286 304	31803559772
TPT(12)	205963067737643549	0 2 48 50 132 134 168 170 180 182 222 224	31908388578
SPT(14)	205963074980884757	0 2 12 20 32 42 90 224 272 282 294 302 312 314	39151629786