Prime p₀= 2239339690659321539 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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: 170
Found by: Orange Kid
db: batch=81, k=12, 2 46 2 28 2 10

STPT(10)	2239337828576555261	0 2 36 38 78 80 120 122 156 158	-1862082766278
SPT(16)	2239338631523956223	0 18 24 30 56 98 114 156 158 200 216 258 284 290 296 314	-1059135365316
TPT(14)	2239338692270614817	0 2 54 56 114 116 120 122 150 152 180 182 240 242	-998388706722
SPT(16)	2239339030163768417	0 26 66 104 110 132 134 156 230 252 254 276 282 320 360 386	-660495553122
STPT(10)	2239339072120173629	0 2 12 14 90 92 168 170 180 182	-618539147910
STPT(10)	2239339122993255461	0 2 6 8 48 50 90 92 96 98	-567666066078
STPT(10)	2239340121844663889	0 2 18 20 60 62 102 104 120 122	431185342350
SPT(13)	2239340210811705601	0 6 48 66 90 108 138 168 186 210 228 270 276	520152384062
SPT(16)	2239340472108801629	0 14 18 32 54 60 80 84 98 102 122 128 150 164 168 182	781449480090
SPT(16)	2239340813154532447	0 12 16 42 66 72 132 136 240 244 304 310 334 360 364 376	1122495210908
SPT(16)	2239341360398773537	0 4 34 100 144 180 190 214 282 306 316 352 396 462 492 496	1669739451998