Prime p₀= 2610058916471406929 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 34 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 138 140 180 182 240 242
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: 242
Found by: JayPi
db: batch=82, k=12, 2 58 2 40 2 34

SPT(16)	2610058027514016263	0 6 48 78 86 90 170 248 378 456 536 540 548 578 620 626	-888957390666
SPT(16)	2610058046202516509	0 8 14 20 42 48 90 108 134 152 194 200 222 228 234 242	-870268890420
SPT(16)	2610058083540235693	0 18 58 70 96 156 166 210 226 270 280 340 366 378 418 436	-832931171236
SPT(16)	2610058526598056003	0 8 26 56 68 98 110 120 134 144 156 186 198 228 246 254	-389873350926
SPT(20)	2610058659899727709	0 24 54 58 70 72 88 100 124 138 154 168 192 204 220 222 234 238 268 292	-256571679220
STPT(10)	2610058899119199347	0 2 30 32 42 44 54 56 84 86	-17352207582
STPT(10)	2610058962113139749	0 2 42 44 60 62 78 80 120 122	45641732820
SPT(16)	2610059005584095759	0 38 80 114 144 152 158 168 224 234 240 248 278 312 354 392	89112688830
STPT(10)	2610059915219810231	0 2 6 8 48 50 90 92 96 98	998748403302
SPT(16)	2610059945960979847	0 82 126 144 154 180 184 210 256 282 286 312 322 340 384 466	1029489572918
SPT(16)	2610059967366879803	0 20 48 66 96 98 158 180 194 216 276 278 308 326 354 374	1050895472874