Prime p₀= 2393091870220014947 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=12, 2 40 2 16 2 22

SPT(16)	2393089834930137817	0 6 24 42 52 82 94 126 130 162 174 204 214 232 250 256	-2035289877130
SPT(16)	2393090202504106279	0 4 18 58 70 72 84 100 102 118 130 132 144 184 198 202	-1667715908668
SPT(16)	2393091472123074179	0 2 14 18 42 78 80 92 150 162 164 200 224 228 240 242	-398096940768
STPT(10)	2393091483676117727	0 2 24 26 42 44 60 62 84 86	-386543897220
STPT(10)	2393091546620006537	0 2 30 32 42 44 54 56 84 86	-323600008410
SPT(16)	2393091696346815197	0 54 84 86 152 156 170 210 236 276 290 294 360 362 392 446	-173873199750
TPT(14)	2393091870220014947	0 2 42 44 60 62 84 86 102 104 144 146 252 254	0
SPT(16)	2393092336447901839	0 18 64 78 84 102 112 190 252 330 340 358 364 378 424 442	466227886892
TPT(14)	2393092614910893221	0 2 30 32 96 98 228 230 258 260 336 338 408 410	744690878274
STPT(10)	2393093448985220207	0 2 30 32 72 74 114 116 144 146	1578765205260
SPT(16)	2393093603475330013	0 16 18 40 46 60 88 96 100 108 136 150 156 178 180 196	1733255315066