Prime p₀= 2938429056823220627 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: arkiss
db: batch=82, k=12, 2 28 2 28 2 40

SPT(16)	2938427143123027649	0 2 8 30 92 114 140 164 168 192 218 240 302 324 330 332	-1913700192978
STPT(10)	2938427257137225911	0 2 30 32 78 80 126 128 156 158	-1799685994716
SPT(16)	2938428555508380821	0 6 20 32 66 90 110 116 126 132 152 176 210 222 236 242	-501314839806
STPT(10)	2938428588670397687	0 2 12 14 72 74 132 134 144 146	-468152822940
SPT(16)	2938428640851480067	0 12 36 42 76 102 114 132 154 172 184 210 244 250 274 286	-415971740560
STPT(10)	2938428719740499771	0 2 30 32 60 62 90 92 120 122	-337082720856
SPT(16)	2938429558109733349	0 18 28 34 48 70 90 112 120 142 162 184 198 204 214 232	501286512722
STPT(10)	2938429909914970697	0 2 30 32 72 74 114 116 144 146	853091750070
SPT(16)	2938430267079235529	0 14 20 24 54 104 164 174 230 240 300 350 380 384 390 404	1210256014902
SPT(16)	2938430406134832793	0 16 64 120 156 174 178 196 198 216 220 238 274 330 378 394	1349311612166
STPT(10)	2938430435217509117	0 2 30 32 42 44 54 56 84 86	1378394288490