Prime p₀= 2326737190037193629 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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=81, k=12, 2 46 2 28 2 10

SPT(16)	2326734240920212429	0 4 10 28 48 78 88 94 144 150 160 190 210 228 234 238	-2949116981200
STPT(10)	2326734747310940171	0 2 6 8 18 20 30 32 36 38	-2442726253458
STPT(10)	2326735626811520591	0 2 6 8 18 20 30 32 36 38	-1563225673038
STPT(10)	2326736887342103849	0 2 18 20 30 32 42 44 60 62	-302695089780
SPT(16)	2326737041417234707	0 66 196 202 210 232 252 304 342 394 414 436 444 450 580 646	-148619958922
SPT(16)	2326737064156848103	0 18 46 76 90 120 154 186 238 270 304 334 348 378 406 424	-125880345526
STPT(10)	2326737246974096729	0 2 12 14 90 92 168 170 180 182	56936903100
STPT(10)	2326737251074109051	0 2 6 8 48 50 90 92 96 98	61036915422
SPT(16)	2326737367279132243	0 10 16 28 30 34 64 66 118 120 150 154 156 168 174 184	177241938614
SPT(16)	2326737654168070393	0 66 106 136 144 148 174 204 220 250 276 280 288 318 358 424	464130876764
SPT(16)	2326738457820824059	0 12 22 34 42 60 64 84 130 150 154 172 180 192 202 214	1267783630430