Prime p₀= 2015008689527178557 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: Chooka
db: batch=80, k=12, 2 58 2 22 2 4

SPT(16)	2015007769513260979	0 28 30 58 78 132 190 202 228 240 298 352 372 400 402 430	-920013917578
TPT(14)	2015007792512012477	0 2 12 14 60 62 90 92 102 104 114 116 210 212	-897015166080
SPT(16)	2015007989065750909	0 10 40 48 54 84 90 124 138 172 178 208 214 222 252 262	-700461427648
TPT(14)	2015007994517289677	0 2 222 224 234 236 372 374 402 404 462 464 504 506	-695009888880
STPT(10)	2015008171238649269	0 2 42 44 90 92 138 140 180 182	-518288529288
SPT(16)	2015008636233519793	0 6 16 94 100 114 138 166 168 196 220 234 240 318 328 334	-53293658764
SPT(16)	2015009490524391947	0 42 60 84 92 102 104 152 174 222 224 234 242 266 284 326	800997213390
SPT(16)	2015009767409548487	0 30 44 86 132 134 146 162 194 210 222 224 270 312 326 356	1077882369930
SPT(16)	2015009910993204683	0 18 24 56 78 110 120 134 150 164 174 206 228 260 266 284	1221466026126
STPT(10)	2015009990116265951	0 2 6 8 48 50 90 92 96 98	1300589087394
STPT(10)	2015010254646416057	0 2 30 32 60 62 90 92 120 122	1565119237500