Prime p₀= 997994432647950317 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 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: Spectrum
db: batch=76, k=12, 2 22 2 4 2 22

SPT(16)	997993478490492863	0 54 56 126 134 150 158 168 176 186 194 210 218 288 290 344	-954157457454
SPT(16)	997993740270199027	0 10 60 76 84 102 120 144 262 286 304 322 330 346 396 406	-692377751290
TPT(14)	997993831713263261	0 2 60 62 120 122 186 188 246 248 288 290 336 338	-600934687056
SPT(16)	997994029267586489	0 20 32 54 62 84 90 150 224 284 290 312 320 342 354 374	-403380363828
SPT(16)	997994052153701731	0 22 60 78 118 120 162 172 186 196 238 240 280 298 336 358	-380494248586
SPT(16)	997994117652682187	0 6 66 72 86 90 102 144 212 254 266 270 284 290 350 356	-314995268130
STPT(10)	997994498373083969	0 2 18 20 30 32 42 44 60 62	65725133652
STPT(10)	997995166335646067	0 2 30 32 42 44 54 56 84 86	733687695750
STPT(10)	997995314298852731	0 2 36 38 78 80 120 122 156 158	881650902414
STPT(10)	997995415423320071	0 2 6 8 18 20 30 32 36 38	982775369754
SPT(16)	997995965707983191	0 6 8 48 68 92 126 162 206 242 276 300 320 360 362 368	1533060032874