Prime p₀= 2375296304452251707 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 28 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 102 104 114 116 174 176
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: 176
Found by: philip-in-hong kong
db: batch=81, k=12, 2 58 2 10 2 28

STPT(10)	2375294901512588057	0 2 30 32 72 74 114 116 144 146	-1402939663650
TPT(14)	2375295223879283219	0 2 120 122 132 134 138 140 180 182 222 224 390 392	-1080572968488
TPT(14)	2375295310950087899	0 2 198 200 228 230 240 242 258 260 282 284 312 314	-993502163808
SPT(16)	2375295368305550347	0 4 24 30 54 72 96 100 306 310 334 352 376 382 402 406	-936146701360
SPT(16)	2375295470281748191	0 16 52 66 72 108 178 190 198 210 280 316 322 336 372 388	-834170503516
SPT(16)	2375295714942098219	0 14 38 84 110 120 122 134 138 150 152 162 188 234 258 272	-589510153488
TPT(14)	2375296304452251707	0 2 60 62 72 74 102 104 114 116 174 176 324 326	0
SPT(16)	2375296901443725191	0 48 50 162 192 206 240 248 300 308 342 356 386 498 500 548	596991473484
SPT(16)	2375297702786792617	0 16 36 60 66 94 144 150 190 196 246 274 280 304 324 340	1398334540910
STPT(10)	2375298186077122079	0 2 12 14 90 92 168 170 180 182	1881624870372
STPT(10)	2375298644888541311	0 2 36 38 78 80 120 122 156 158	2340436289604