Prime p₀= 3236851831554030647 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 34 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 60 62 72 74 84 86
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: 86
Found by: JohnMD
db: batch=83, k=12, 2 10 2 10 2 34

SPT(16)	3236849939830147253	0 6 44 68 74 98 120 144 170 194 216 240 246 270 308 314	-1891723883394
STPT(10)	3236850010670367527	0 2 42 44 72 74 102 104 144 146	-1820883663120
SPT(16)	3236850078509965487	0 6 36 62 66 114 120 122 174 176 182 230 234 260 290 296	-1753044065160
SPT(16)	3236850947470149169	0 4 12 24 30 112 130 144 208 222 240 322 328 340 348 352	-884083881478
TPT(14)	3236851045276898759	0 2 12 14 78 80 162 164 288 290 342 344 372 374	-786277131888
STPT(10)	3236851380097334861	0 2 36 38 78 80 120 122 156 158	-451456695786
SPT(16)	3236853028508542139	0 20 48 72 74 114 152 182 270 300 338 378 380 404 432 452	1196954511492
SPT(16)	3236853037905342553	0 10 36 60 88 90 148 210 256 318 376 378 406 430 456 466	1206351311906
SPT(16)	3236853105818236621	0 6 12 58 66 78 142 168 190 216 280 292 300 346 352 358	1274264205974
STPT(10)	3236853884908991057	0 2 42 44 72 74 102 104 144 146	2053354960410
SPT(16)	3236853898685265277	0 16 42 72 82 102 112 126 130 144 154 174 184 214 240 256	2067131234630