Prime p₀= 873246713787683159 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 64 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 138 140 198 200 210 212
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: 212
Found by: GLeeM
db: batch=73, k=12, 2 10 2 58 2 64

STPT(10)	873245601389049839	0 2 18 20 30 32 42 44 60 62	-1112398633320
SPT(16)	873245802721819069	0 22 28 34 70 88 90 124 168 202 204 222 258 264 270 292	-911065864090
STPT(10)	873246237979680041	0 2 36 38 78 80 120 122 156 158	-475808003118
SPT(16)	873246342463375931	0 12 30 32 56 72 92 102 110 120 140 156 180 182 200 212	-371324307228
STPT(10)	873246376160848511	0 2 6 8 48 50 90 92 96 98	-337626834648
STPT(10)	873246609702590831	0 2 36 38 78 80 120 122 156 158	-104085092328
SPT(16)	873246880340902351	0 6 30 42 70 172 216 246 322 352 396 498 526 538 562 568	166553219192
SPT(16)	873247090799467711	0 22 48 60 82 88 112 136 162 186 210 216 238 250 276 298	377011784552
STPT(10)	873247145331387527	0 2 30 32 42 44 54 56 84 86	431543704368
SPT(16)	873247926489168773	0 26 56 74 86 104 140 144 170 174 210 228 240 258 288 314	1212701485614
STPT(10)	873248011887480347	0 2 24 26 42 44 60 62 84 86	1298099797188