Prime p₀= 1465004469836941877 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 4 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 60 62 84 86 114 116
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: 116
Found by: vanos0512
db: batch=78, k=12, 2 28 2 22 2 4

SPT(16)	1465001957311758991	0 10 48 88 132 160 192 228 292 328 360 388 432 472 510 520	-2512525182886
TPT(14)	1465002660665273627	0 2 42 44 102 104 162 164 174 176 294 296 330 332	-1809171668250
SPT(16)	1465002981881939191	0 16 30 40 52 70 126 132 136 142 198 216 228 238 252 268	-1487955002686
STPT(12)	1465003861380928049	0 2 18 20 60 62 150 152 192 194 210 212	-608456013828
SPT(16)	1465003866917677381	0 18 36 42 66 70 102 126 172 196 228 232 256 262 280 298	-602919264496
SPT(16)	1465004211019242277	0 10 142 156 180 196 312 322 324 334 450 466 490 504 636 646	-258817699600
SPT(16)	1465004822232573007	0 12 22 52 100 112 114 166 180 232 234 246 294 324 334 346	352395631130
STPT(10)	1465004826519570767	0 2 12 14 72 74 132 134 144 146	356682628890
SPT(16)	1465004878252897073	0 8 56 68 78 96 110 176 210 276 290 308 318 330 378 386	408415955196
TPT(14)	1465004966461482179	0 2 138 140 192 194 270 272 282 284 312 314 318 320	496624540302
SPT(16)	1465005127806860579	0 8 20 32 42 108 140 144 188 192 224 290 300 312 324 332	657969918702