Prime p₀= 3064973399866765757 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: vaughan
db: batch=83, k=12, 2 40 2 16 2 22

SPT(16)	3064971658685390431	0 66 76 82 120 130 186 216 376 406 462 472 510 516 526 592	-1741181375326
TPT(14)	3064972010967436481	0 2 18 20 60 62 156 158 168 170 216 218 228 230	-1388899329276
STPT(10)	3064972221900972587	0 2 12 14 42 44 72 74 84 86	-1177965793170
SPT(16)	3064972263115779931	0 6 22 40 46 66 106 118 180 192 232 252 258 276 292 298	-1136750985826
STPT(10)	3064972345227827861	0 2 30 32 78 80 126 128 156 158	-1054638937896
SPT(16)	3064972384190045111	0 2 32 56 102 116 156 182 210 236 276 290 336 360 390 392	-1015676720646
STPT(10)	3064973489549832629	0 2 18 20 30 32 42 44 60 62	89683066872
SPT(16)	3064973530238462497	0 6 22 46 70 72 90 100 132 142 160 162 186 210 226 232	130371696740
SPT(16)	3064973559602006287	0 6 16 72 100 102 112 124 132 144 154 156 184 240 250 256	159735240530
STPT(10)	3064973697763352537	0 2 30 32 42 44 54 56 84 86	297896586780
TPT(14)	3064974259688996729	0 2 42 44 60 62 198 200 240 242 258 260 270 272	859822230972