Prime p₀= 2712386449650670517 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: JayPi
db: batch=82, k=12, 2 28 2 28 2 10

SPT(16)	2712385534550372383	0 40 70 126 178 180 238 258 268 288 346 348 400 456 486 526	-915100298134
STPT(12)	2712385792114072757	0 2 42 44 60 62 72 74 90 92 132 134	-657536597760
STPT(10)	2712385826077661009	0 2 48 50 90 92 132 134 180 182	-623573009508
SPT(16)	2712385829554509193	0 46 54 64 126 130 138 148 186 196 204 208 270 280 288 334	-620096161324
STPT(10)	2712386000809248521	0 2 6 8 18 20 30 32 36 38	-448841421996
SPT(16)	2712386184659261239	0 28 84 100 108 114 154 180 262 288 328 334 342 358 414 442	-264991409278
SPT(18)	2712386549159480057	0 20 36 50 62 72 86 96 140 336 380 390 404 414 426 440 456 476	99508809540
STPT(12)	2712386603099159639	0 2 30 32 42 44 78 80 90 92 120 122	153448489122
STPT(10)	2712386686788034391	0 2 36 38 78 80 120 122 156 158	237137363874
SPT(16)	2712386925519334159	0 28 42 52 120 130 132 162 178 208 210 220 288 298 312 340	475868663642
SPT(13)	2712386973552285481	0 12 18 138 168 222 240 258 312 342 462 468 480	523901614964