Prime p₀= 2091171821146838459 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: Landjunge
db: batch=80, k=12, 2 10 2 28 2 34

SPT(16)	2091170198706529327	0 22 34 36 46 52 60 66 70 76 84 90 100 102 114 136	-1622440309132
STPT(10)	2091170321333742767	0 2 30 32 42 44 54 56 84 86	-1499813095692
SPT(16)	2091170324974501993	0 4 6 24 34 60 76 88 126 138 154 180 190 208 210 214	-1496172336466
STPT(10)	2091170980869274877	0 2 60 62 72 74 84 86 144 146	-840277563582
STPT(10)	2091171504365619251	0 2 36 38 78 80 120 122 156 158	-316781219208
STPT(10)	2091171803350181171	0 2 6 8 48 50 90 92 96 98	-17796657288
SPT(16)	2091172009128856153	0 40 58 66 84 100 156 166 168 178 234 250 268 276 294 334	187982017694
TPT(14)	2091172316304892307	0 2 54 56 102 104 114 116 144 146 180 182 222 224	495158053848
SPT(16)	2091172393024675403	0 14 18 56 60 78 84 128 216 260 266 284 288 326 330 344	571877836944
STPT(10)	2091172393944122351	0 2 36 38 78 80 120 122 156 158	572797283892
SPT(16)	2091172870814872121	0 8 60 90 98 110 156 158 198 200 246 258 266 296 348 356	1049668033662