Prime p₀= 975458552673829949 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: [SG-2W]Kurzer
db: batch=76, k=12, 2 28 2 28 2 10

SPT(16)	975457910339089663	0 30 78 84 100 160 220 234 250 264 324 384 400 406 454 484	-642334740286
SPT(16)	975458058625547401	0 10 22 36 100 108 112 126 172 186 190 198 262 276 288 298	-494048282548
STPT(10)	975458093743561409	0 2 18 20 60 62 102 104 120 122	-458930268540
SPT(13)	975458117224832897	0 42 54 60 90 120 132 144 174 204 210 222 264	-435448997052
SPT(16)	975458424503949569	0 2 14 50 54 68 120 150 182 212 264 278 282 318 330 332	-128169880380
TPT(14)	975458442634825211	0 2 30 32 96 98 126 128 150 152 168 170 366 368	-110039004738
SPT(16)	975458691576717973	0 4 48 58 84 94 154 160 228 234 294 304 330 340 384 388	138902888024
STPT(10)	975458851286206487	0 2 12 14 72 74 132 134 144 146	298612376538
SPT(16)	975459026108714821	0 16 70 76 150 156 168 178 300 310 322 328 402 408 462 478	473434884872
SPT(16)	975459118318755989	0 2 14 20 72 84 122 158 174 210 248 260 312 318 330 332	565644926040
STPT(10)	975459159996727409	0 2 48 50 90 92 132 134 180 182	607322897460