Prime p₀= 2105722184227661759 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: Landjunge
db: batch=80, k=12, 2 10 2 28 2 16

SPT(16)	2105720822237286173	0 24 44 50 80 138 156 170 174 188 206 264 294 300 320 344	-1361990375586
STPT(10)	2105721127963115459	0 2 18 20 30 32 42 44 60 62	-1056264546300
SPT(16)	2105721182028833077	0 10 16 46 132 142 156 216 256 316 330 340 426 456 462 472	-1002198828682
SPT(16)	2105721484140895693	0 4 36 78 114 118 130 144 160 174 186 190 226 268 300 304	-700086766066
TPT(14)	2105721789532087511	0 2 108 110 168 170 210 212 276 278 360 362 408 410	-394695574248
SPT(16)	2105721887826304129	0 4 70 82 100 154 172 198 214 240 258 312 330 342 408 412	-296401357630
STPT(10)	2105722278534576641	0 2 36 38 78 80 120 122 156 158	94306914882
SPT(16)	2105722411386181097	0 30 32 44 54 74 80 110 144 174 180 200 210 222 224 254	227158519338
STPT(10)	2105722433372279999	0 2 12 14 90 92 168 170 180 182	249144618240
SPT(16)	2105722567117381577	0 14 84 120 126 164 182 192 254 264 282 320 326 362 432 446	382889719818
TPT(14)	2105722728231145781	0 2 6 8 36 38 90 92 168 170 456 458 480 482	544003484022