Prime p₀= 2157144197108285381 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 16 2 22 2 16 2 76 2 (?)
a_n: 0 2 78 80 96 98 120 122 138 140 216 218
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: 218
Found by: Landjunge
db: batch=81, k=12, 2 76 2 16 2 22

SPT(16)	2157143087949889979	0 8 14 108 114 132 144 158 174 188 200 218 224 318 324 332	-1109158395402
STPT(10)	2157143204177686139	0 2 18 20 30 32 42 44 60 62	-992930599242
STPT(10)	2157143485317038369	0 2 48 50 90 92 132 134 180 182	-711791247012
STPT(10)	2157143931135690281	0 2 36 38 78 80 120 122 156 158	-265972595100
SPT(16)	2157144153958133407	0 6 12 34 46 84 106 162 214 270 292 330 342 364 370 376	-43150151974
SPT(16)	2157144197108285303	0 24 78 80 156 158 174 176 198 200 216 218 294 296 350 374	-78
SPT(16)	2157145008820538267	0 86 110 116 144 180 182 200 306 324 326 362 390 396 420 506	811712252886
STPT(10)	2157145048111453427	0 2 30 32 42 44 54 56 84 86	851003168046
SPT(16)	2157145224446385317	0 14 20 44 96 102 146 176 180 210 254 260 312 336 342 356	1027338099936
SPT(16)	2157145544150737067	0 32 50 56 92 102 110 134 222 246 254 264 300 306 324 356	1347042451686
SPT(18)	2157145963913113361	0 12 48 56 62 80 96 102 140 198 236 242 258 276 282 290 326 338	1766804827980