Prime p₀= 2031134159831836649 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: 122
Found by: Dingo
db: batch=80, k=12, 2 16 2 22 2 34

SPT(16)	2031132850843159027	0 30 42 52 70 82 84 94 132 142 144 156 174 184 196 226	-1308988677622
STPT(10)	2031133082185559249	0 2 18 20 60 62 102 104 120 122	-1077646277400
SPT(16)	2031133189860807031	0 18 58 82 88 108 132 250 270 388 412 432 438 462 502 520	-969971029618
STPT(10)	2031133356770126429	0 2 18 20 30 32 42 44 60 62	-803061710220
STPT(10)	2031133455743152301	0 2 30 32 78 80 126 128 156 158	-704088684348
TPT(14)	2031134122386918929	0 2 42 44 48 50 72 74 78 80 252 254 282 284	-37444917720
SPT(16)	2031134240213394919	0 4 40 78 82 142 168 172 180 184 210 270 274 312 348 352	80381558270
SPT(16)	2031134300797284391	0 16 48 76 172 190 238 288 310 360 408 426 522 550 582 598	140965447742
SPT(16)	2031135251114324881	0 16 22 42 52 58 60 100 198 238 240 246 256 276 282 298	1091282488232
TPT(14)	2031135639262694957	0 2 54 56 114 116 180 182 192 194 282 284 324 326	1479430858308
SPT(16)	2031136209983144521	0 48 70 112 148 162 186 202 306 322 346 360 396 438 460 508	2050151307872