Prime p₀= 2121950102086874327 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 16 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 90 92 132 134 162 164
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: 164
Found by: Chooka
db: batch=80, k=12, 2 28 2 40 2 16

SPT(16)	2121948816283720289	0 20 24 32 38 60 62 98 144 180 182 204 210 218 222 242	-1285803154038
STPT(10)	2121949364460082601	0 2 108 110 138 140 168 170 276 278	-737626791726
STPT(10)	2121949452642149087	0 2 24 26 42 44 60 62 84 86	-649444725240
SPT(16)	2121949598893335823	0 6 40 66 76 100 106 118 198 210 216 240 250 276 310 316	-503193538504
SPT(16)	2121949817257272719	0 2 30 90 92 98 114 162 260 308 324 330 332 392 420 422	-284829601608
SPT(16)	2121949939837619329	0 34 132 184 202 268 294 358 474 538 564 630 648 700 798 832	-162249254998
SPT(16)	2121950923290396427	0 10 102 124 130 166 192 216 250 274 300 336 342 364 456 466	821203522100
SPT(16)	2121951289727160413	0 20 56 110 144 156 170 174 320 324 338 350 384 438 474 494	1187640286086
SPT(16)	2121951564030951449	0 2 14 20 42 54 68 104 108 144 158 170 192 198 210 212	1461944077122
STPT(10)	2121951670269254729	0 2 12 14 90 92 168 170 180 182	1568182380402
STPT(10)	2121951692552306309	0 2 30 32 60 62 90 92 120 122	1590465431982