Prime p₀= 1780099374546212099 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 34 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 78 80 90 92 120 122
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: Orange Kid
db: batch=79, k=12, 2 28 2 10 2 34

SPT(16)	1780098763679813123	0 18 24 114 134 138 164 176 228 240 266 270 290 380 386 404	-610866398976
STPT(10)	1780098822402048059	0 2 18 20 30 32 42 44 60 62	-552144164040
TPT(14)	1780098822402048059	0 2 18 20 30 32 42 44 60 62 132 134 168 170	-552144164040
SPT(16)	1780098953914167283	0 34 64 78 88 106 144 166 168 190 228 246 256 270 300 334	-420632044816
STPT(10)	1780099161468445799	0 2 42 44 60 62 78 80 120 122	-213077766300
TPT(14)	1780099163348572751	0 2 18 20 60 62 168 170 180 182 306 308 408 410	-211197639348
STPT(10)	1780099676112439769	0 2 138 140 150 152 162 164 300 302	301566227670
SPT(16)	1780100139697070833	0 10 28 36 48 64 130 168 196 234 300 316 328 336 354 364	765150858734
SPT(16)	1780100262863945917	0 4 6 46 76 130 144 222 244 322 336 390 420 460 462 466	888317733818
STPT(10)	1780100315208170771	0 2 6 8 48 50 90 92 96 98	940661958672
SPT(16)	1780100325023332967	0 6 12 50 102 144 174 176 180 182 212 254 306 344 350 356	950477120868