Prime p₀= 2381780557875041117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 174 176
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: 176
Found by: arkiss
db: batch=81, k=12, 2 58 2 22 2 4

SPT(13)	2381779324061828813	0 6 30 36 96 126 168 210 240 300 306 330 336	-1233813212304
SPT(16)	2381779446666449881	0 10 16 42 112 120 142 148 150 156 178 186 256 282 288 298	-1111208591236
SPT(16)	2381779553894051477	0 96 104 122 144 150 180 200 216 236 266 272 294 312 320 416	-1003980989640
STPT(10)	2381779677529518347	0 2 42 44 72 74 102 104 144 146	-880345522770
SPT(16)	2381779853944906853	0 60 74 78 84 146 168 194 210 236 258 320 326 330 344 404	-703930134264
STPT(12)	2381780393627130359	0 2 12 14 42 44 48 50 78 80 90 92	-164247910758
SPT(16)	2381780715134472629	0 80 108 152 174 230 242 248 294 300 312 368 390 434 462 542	157259431512
TPT(14)	2381780894447919659	0 2 30 32 78 80 90 92 102 104 198 200 270 272	336572878542
SPT(16)	2381780992379222311	0 22 36 72 96 108 126 168 190 232 250 262 286 322 336 358	434504181194
STPT(10)	2381781002289139247	0 2 30 32 42 44 54 56 84 86	444414098130
STPT(10)	2381781023757577667	0 2 30 32 42 44 54 56 84 86	465882536550