Prime p₀= 1003261444003451219 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 154 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 198 200 210 212 240 242
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: Spectrum
db: batch=76, k=12, 2 28 2 10 2 154

SPT(16)	1003260325335981221	0 12 32 38 66 90 98 122 126 150 158 182 210 216 236 248	-1118667469998
SPT(13)	1003260496865023003	0 6 24 60 126 144 180 216 234 300 336 354 360	-947138428216
STPT(10)	1003260518897720261	0 2 6 8 48 50 90 92 96 98	-925105730958
SPT(16)	1003260647321662517	0 2 12 32 74 86 126 144 152 170 210 222 264 284 294 296	-796681788702
SPT(16)	1003261020234007433	0 8 26 54 78 96 98 140 174 216 218 236 260 288 306 314	-423769443786
SPT(16)	1003261190262582967	0 6 52 60 72 100 106 130 132 156 162 190 202 210 256 262	-253740868252
STPT(10)	1003262104066331477	0 2 30 32 42 44 54 56 84 86	660062880258
SPT(16)	1003262420982220109	0 42 138 144 152 170 198 200 252 254 282 300 308 314 410 452	976978768890
STPT(10)	1003262586476809817	0 2 54 56 72 74 90 92 144 146	1142473358598
SPT(16)	1003262833302726341	0 8 50 60 120 132 140 170 258 288 296 308 368 378 420 428	1389299275122
SPT(16)	1003262905537896431	0 50 86 98 108 140 162 176 192 206 228 260 270 282 318 368	1461534445212