Prime p₀= 1010089601320809617 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: Theadalus
db: batch=76, k=12, 2 10 2 40 2 4

STPT(10)	1010088946254075971	0 2 6 8 48 50 90 92 96 98	-655066733646
SPT(16)	1010089064555800039	0 18 24 88 100 118 150 154 174 178 210 228 240 304 310 328	-536765009578
SPT(16)	1010089083145699757	0 36 50 116 120 144 146 194 252 300 302 326 330 396 410 446	-518175109860
SPT(16)	1010089408639483651	0 6 30 40 90 162 168 178 180 190 196 268 318 328 352 358	-192681325966
SPT(16)	1010089518374407907	0 56 72 80 102 120 140 146 186 192 212 230 252 260 276 332	-82946401710
STPT(10)	1010089537234433387	0 2 30 32 42 44 54 56 84 86	-64086376230
SPT(16)	1010089701275800319	0 14 32 38 72 80 98 102 110 114 132 140 174 180 198 212	99954990702
STPT(10)	1010089863468122189	0 2 18 20 30 32 42 44 60 62	262147312572
STPT(10)	1010089923411468827	0 2 30 32 72 74 114 116 144 146	322090659210
SPT(16)	1010090087560593679	0 30 72 90 112 118 120 138 142 160 162 168 190 208 250 280	486239784062
SPT(16)	1010090161133208401	0 42 50 80 122 168 210 218 270 278 320 366 408 438 446 488	559812398784