Prime p₀= 1117903865172349859 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: stoneageman
db: batch=76, k=12, 2 28 2 28 2 40

SPT(16)	1117902075511756967	0 14 26 42 80 84 126 132 194 200 242 246 284 300 312 326	-1789660592892
SPT(16)	1117902191224297211	0 12 38 68 150 182 186 206 252 272 276 308 390 420 446 458	-1673948052648
SPT(16)	1117902568994822099	0 24 60 150 164 188 192 224 258 290 294 318 332 422 458 482	-1296177527760
STPT(10)	1117902594621276941	0 2 36 38 78 80 120 122 156 158	-1270551072918
STPT(12)	1117903210724805119	0 2 60 62 102 104 138 140 180 182 240 242	-654447544740
SPT(16)	1117903711291102661	0 6 60 98 120 170 176 182 246 252 258 308 330 368 422 428	-153881247198
STPT(10)	1117903989334666349	0 2 12 14 90 92 168 170 180 182	124162316490
STPT(10)	1117904053817437889	0 2 30 32 60 62 90 92 120 122	188645088030
STPT(10)	1117904270110046687	0 2 30 32 72 74 114 116 144 146	404937696828
STPT(10)	1117904383926474959	0 2 78 80 150 152 222 224 300 302	518754125100
SPT(16)	1117904726830202803	0 4 24 46 64 100 108 126 298 316 324 360 378 400 420 424	861657852944