Prime p₀= 2003779632508044227 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 102 104 114 116
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: Chooka
db: batch=80, k=12, 2 10 2 28 2 28

SPT(16)	2003778754814747539	0 4 82 84 132 154 172 180 292 300 318 340 388 390 468 472	-877693296688
STPT(10)	2003778887976473339	0 2 42 44 90 92 138 140 180 182	-744531570888
SPT(16)	2003779161507033941	0 38 50 60 72 78 108 120 128 140 170 176 188 198 210 248	-471001010286
SPT(16)	2003779265321243401	0 12 40 52 66 106 172 180 202 210 276 316 330 342 370 382	-367186800826
SPT(16)	2003779311729669337	0 30 66 84 90 196 216 220 240 244 264 370 376 394 430 460	-320778374890
SPT(16)	2003779381996188473	0 50 54 66 80 120 134 140 204 210 224 264 278 290 294 344	-250511855754
STPT(10)	2003780274829210037	0 2 30 32 42 44 54 56 84 86	642321165810
TPT(14)	2003780646103498319	0 2 30 32 78 80 198 200 288 290 360 362 420 422	1013595454092
SPT(16)	2003781701242667077	0 30 42 46 70 72 120 156 160 196 244 246 270 274 286 316	2068734622850
STPT(10)	2003781718265584469	0 2 18 20 60 62 102 104 120 122	2085757540242
SPT(16)	2003781771719618987	0 32 66 144 204 206 230 266 270 306 330 332 392 470 504 536	2139211574760