Prime p₀= 2117790464912153747 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=80, k=12, 2 40 2 16 2 22

STPT(10)	2117789137329946139	0 2 48 50 90 92 132 134 180 182	-1327582207608
SPT(18)	2117789424143431373	0 24 26 86 90 98 168 174 180 284 290 296 366 374 378 438 440 464	-1040768722374
SPT(18)	2117789620985275309	0 10 34 72 112 130 150 160 198 274 312 322 342 360 400 438 462 472	-843926878438
SPT(16)	2117790164389164019	0 28 40 72 82 88 124 174 208 258 294 300 310 342 354 382	-300522989728
STPT(10)	2117790362133248219	0 2 18 20 30 32 42 44 60 62	-102778905528
SPT(16)	2117790409803079463	0 8 96 128 140 194 200 228 236 264 270 324 336 368 456 464	-55109074284
STPT(10)	2117790510479276597	0 2 30 32 42 44 54 56 84 86	45567122850
SPT(16)	2117791067272663231	0 16 18 36 60 82 126 130 138 142 186 208 232 250 252 268	602360509484
SPT(16)	2117791186499042071	0 40 42 66 90 96 108 162 166 220 232 238 262 286 288 328	721586888324
STPT(10)	2117791253139142949	0 2 18 20 30 32 42 44 60 62	788226989202
SPT(16)	2117791293099498253	0 6 34 58 96 100 108 150 184 226 234 238 276 300 328 334	828187344506