Prime p₀= 2394722200628542469 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 46 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 150 152 192 194 252 254
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: 254
Found by: JohnMD
db: batch=81, k=12, 2 58 2 40 2 46

SPT(16)	2394721745391718499	0 18 38 78 80 120 150 158 204 212 242 282 284 324 344 362	-455236823970
TPT(16)	2394721758945503549	0 2 42 44 78 80 102 104 132 134 210 212 282 284 378 380	-441683038920
STPT(10)	2394721954681595807	0 2 30 32 72 74 114 116 144 146	-245946946662
SPT(16)	2394721963271702399	0 74 84 98 140 152 164 170 222 228 240 252 294 308 318 392	-237356840070
SPT(16)	2394722026078397791	0 18 42 48 90 100 112 132 178 198 210 220 262 268 292 310	-174550144678
SPT(16)	2394722101354478647	0 10 16 70 72 94 126 154 162 190 222 244 246 300 306 316	-99274063822
SPT(20)	2394722546164918877	0 20 56 62 110 120 152 176 186 204 332 350 360 384 416 426 474 480 516 536	345536376408
STPT(10)	2394722673581025089	0 2 78 80 120 122 162 164 240 242	472952482620
STPT(10)	2394723284373526229	0 2 12 14 30 32 48 50 60 62	1083744983760
STPT(10)	2394723654161047499	0 2 42 44 90 92 138 140 180 182	1453532505030
STPT(10)	2394723723830060057	0 2 30 32 42 44 54 56 84 86	1523201517588