Prime p₀= 741069003295364057 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: Theadalus
db: batch=73, k=12, 2 10 2 16 2 22

STPT(10)	741068569431234227	0 2 30 32 42 44 54 56 84 86	-433864129830
STPT(10)	741068672716222307	0 2 30 32 72 74 114 116 144 146	-330579141750
SPT(16)	741068756455868587	0 6 36 64 76 82 90 130 246 286 294 300 312 340 370 376	-246839495470
TPT(14)	741068893044329777	0 2 12 14 30 32 42 44 102 104 114 116 132 134	-110251034280
STPT(12)	741068893044329789	0 2 18 20 30 32 90 92 102 104 120 122	-110251034268
SPT(16)	741068936034492421	0 6 30 58 66 70 90 96 130 136 156 160 168 196 220 226	-67260871636
STPT(10)	741069123473274719	0 2 12 14 30 32 48 50 60 62	120177910662
SPT(16)	741069427439400373	0 34 90 96 144 150 160 184 210 234 244 250 298 304 360 394	424144036316
STPT(10)	741069428965705727	0 2 30 32 42 44 54 56 84 86	425670341670
SPT(18)	741069563819287231	0 36 40 46 60 100 138 148 156 172 180 190 228 268 282 288 292 328	560523923174
SPT(16)	741069618009836719	0 28 142 148 192 198 220 238 282 300 322 328 372 378 492 520	614714472662