Prime p₀= 1700812135648747307 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 174 176
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: gemini8
db: batch=79, k=12, 2 58 2 22 2 4

STPT(10)	1700810557363057331	0 2 36 38 78 80 120 122 156 158	-1578285689976
STPT(10)	1700810590348476359	0 2 18 20 30 32 42 44 60 62	-1545300270948
TPT(14)	1700810711846673839	0 2 60 62 348 350 390 392 408 410 438 440 492 494	-1423802073468
SPT(16)	1700811515321100997	0 34 64 106 126 132 192 196 240 244 304 310 330 372 402 436	-620327646310
SPT(16)	1700811651095737127	0 30 44 72 84 90 114 132 164 182 206 212 224 252 266 296	-484553010180
TPT(16)	1700812135648747241	0 2 66 68 126 128 150 152 156 158 180 182 240 242 246 248	-66
TPT(14)	1700812157994071531	0 2 36 38 48 50 78 80 120 122 168 170 180 182	22345324224
STPT(10)	1700812353852069221	0 2 30 32 78 80 126 128 156 158	218203321914
STPT(10)	1700812496276554259	0 2 18 20 30 32 42 44 60 62	360627806952
SPT(16)	1700812597191072479	0 20 24 32 44 60 102 132 140 170 212 228 240 248 252 272	461542325172
SPT(16)	1700812729368971353	0 58 64 84 100 108 144 150 154 160 196 204 220 240 246 304	593720224046