Prime p₀= 2923512387653910359 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 108 110 138 140 168 170
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: 170
Found by: Landjunge
db: batch=82, k=12, 2 28 2 28 2 46

STPT(10)	2923511138979642647	0 2 60 62 102 104 144 146 204 206	-1248674267712
STPT(10)	2923511302372472699	0 2 18 20 30 32 42 44 60 62	-1085281437660
STPT(10)	2923511470757616587	0 2 30 32 60 62 90 92 120 122	-916896293772
SPT(16)	2923512010075765597	0 10 90 112 166 220 240 264 322 346 366 420 474 496 576 586	-377578144762
STPT(10)	2923512055770146051	0 2 30 32 78 80 126 128 156 158	-331883764308
SPT(16)	2923512093425482873	0 18 90 124 166 264 270 276 328 334 340 438 480 514 586 604	-294228427486
SPT(16)	2923513172178631867	0 4 22 42 70 150 162 184 282 304 316 396 424 444 462 466	784524721508
SPT(16)	2923513252513093291	0 10 16 42 46 52 60 72 100 112 120 126 130 156 162 172	864859182932
SPT(16)	2923513463689064993	0 6 50 60 116 216 260 266 294 300 344 444 500 510 554 560	1076035154634
SPT(16)	2923513649738813561	0 36 42 92 96 122 126 132 170 176 180 206 210 260 266 302	1262084903202
STPT(10)	2923513822557980081	0 2 6 8 108 110 210 212 216 218	1434904069722