Prime p₀= 3006527496581218277 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 28 2 64 2 28 2 22 2 (?)
a_n: 0 2 24 26 54 56 120 122 150 152 174 176
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: [SG]ATA-Rolf
db: batch=82, k=12, 2 22 2 28 2 64

SPT(16)	3006525301715385277	0 10 34 64 70 76 90 114 196 220 234 240 246 276 300 310	-2194865833000
SPT(16)	3006526329722675537	0 32 96 120 140 144 150 192 254 296 302 306 326 350 414 446	-1166858542740
SPT(16)	3006526480336767497	0 14 92 102 114 120 134 140 156 162 176 182 194 204 282 296	-1016244450780
SPT(16)	3006526693129660733	0 8 86 104 138 168 198 216 218 236 266 296 330 348 426 434	-803451557544
SPT(16)	3006527108147539919	0 20 54 74 98 138 144 158 204 218 224 264 288 308 342 362	-388433678358
STPT(10)	3006527126889302057	0 2 30 32 42 44 54 56 84 86	-369691916220
SPT(16)	3006527589249693941	0 90 92 102 116 132 146 168 200 222 236 252 266 276 278 368	92668475664
SPT(16)	3006528431345304871	0 22 66 88 106 120 136 192 256 312 328 342 360 382 426 448	934764086594
STPT(10)	3006528537542770697	0 2 30 32 72 74 114 116 144 146	1040961552420
STPT(10)	3006528829920511409	0 2 42 44 90 92 138 140 180 182	1333339293132
SPT(16)	3006529424558451307	0 10 66 76 94 102 106 126 130 150 154 162 180 190 246 256	1927977233030