Prime p₀= 2868938613409059491 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 4 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 66 68 108 110 126 128
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: 128
Found by: arkiss
db: batch=82, k=12, 2 16 2 40 2 4

SPT(16)	2868937252614082549	0 4 48 54 60 84 138 154 258 274 328 352 358 364 408 412	-1360794976942
TPT(14)	2868937751716164551	0 2 78 80 96 98 120 122 216 218 258 260 348 350	-861692894940
SPT(16)	2868937755780400429	0 12 30 58 72 112 124 138 154 168 180 220 234 262 280 292	-857628659062
STPT(10)	2868938048645298557	0 2 54 56 72 74 90 92 144 146	-564763760934
SPT(16)	2868938081766674273	0 48 56 96 104 156 198 210 254 266 308 360 368 408 416 464	-531642385218
STPT(10)	2868938416913552717	0 2 24 26 42 44 60 62 84 86	-196495506774
SPT(16)	2868938989602021019	0 12 28 34 48 52 54 82 90 118 120 124 138 144 160 172	376192961528
STPT(10)	2868939591824848439	0 2 18 20 60 62 102 104 120 122	978415788948
STPT(10)	2868939610868569487	0 2 30 32 42 44 54 56 84 86	997459509996
SPT(16)	2868939652491340247	0 24 92 114 134 144 152 182 222 252 260 270 290 312 380 404	1039082280756
SPT(16)	2868940773364193119	0 48 70 124 144 148 154 160 168 174 180 184 204 258 280 328	2159955133628