Prime p₀= 789034697807632139 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: [SG]FX
db: batch=73, k=12, 2 10 2 28 2 4

SPT(16)	789033727041600749	0 24 48 80 170 174 200 234 308 342 368 372 462 494 518 542	-970766031390
SPT(16)	789033765691353041	0 18 30 60 80 98 110 116 192 198 210 228 248 278 290 308	-932116279098
SPT(16)	789033978135259453	0 16 34 36 70 90 126 150 154 178 214 234 268 270 288 304	-719672372686
SPT(16)	789034312895166353	0 26 80 114 140 164 176 186 218 228 240 264 290 324 378 404	-384912465786
STPT(10)	789034320567131489	0 2 12 14 90 92 168 170 180 182	-377240500650
STPT(10)	789034641334707737	0 2 54 56 72 74 90 92 144 146	-56472924402
TPT(14)	789034697807632139	0 2 12 14 42 44 48 50 78 80 90 92 108 110	0
STPT(10)	789035042285402411	0 2 36 38 78 80 120 122 156 158	344477770272
SPT(16)	789035185284352159	0 18 88 90 112 142 160 184 228 252 270 300 322 324 394 412	487476720020
STPT(10)	789035219951644007	0 2 24 26 42 44 60 62 84 86	522144011868
SPT(16)	789035267182724123	0 6 44 50 84 126 150 204 260 314 338 380 414 420 458 464	569375091984