Prime p₀= 1142869484713134641 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 168 170 246 248
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: Alnitak2019
db: batch=76, k=12, 2 76 2 28 2 28

SPT(16)	1142867736602838943	0 6 34 36 88 100 190 228 256 294 384 396 448 450 478 484	-1748110295698
SPT(18)	1142867860660346369	0 30 38 44 54 92 108 138 164 168 194 224 240 278 288 294 302 332	-1624052788272
SPT(16)	1142868068132547821	0 18 38 56 72 126 128 182 186 240 242 296 312 330 350 368	-1416580586820
STPT(10)	1142868247394007221	0 2 6 8 48 50 90 92 96 98	-1237319127420
SPT(16)	1142868689601660601	0 28 48 66 90 136 180 202 216 238 282 328 352 370 390 418	-795111474040
TPT(14)	1142869399669216937	0 2 180 182 264 266 312 314 324 326 384 386 480 482	-85043917704
STPT(10)	1142869565065063877	0 2 30 32 42 44 54 56 84 86	80351929236
SPT(16)	1142869587747881221	0 18 46 90 120 126 132 156 172 196 202 208 238 282 310 328	103034746580
STPT(10)	1142869758280994477	0 2 30 32 42 44 54 56 84 86	273567859836
STPT(10)	1142869983197426831	0 2 6 8 48 50 90 92 96 98	498484292190
SPT(16)	1142870012247568063	0 6 34 64 78 90 96 106 138 148 154 166 180 210 238 244	527534433422