Prime p₀= 798822327233309549 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 196 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 228 230 240 242 258 260
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: 260
Found by: [SG-2W]Kurzer
db: batch=73, k=12, 2 16 2 10 2 196

SPT(16)	798820954102514813	0 30 38 116 156 158 176 198 248 270 288 290 330 408 416 446	-1373130794736
SPT(16)	798821004770019841	0 18 58 136 186 232 252 312 316 376 396 442 492 570 610 628	-1322463289708
SPT(16)	798821520536353627	0 10 22 40 52 60 70 102 130 162 172 180 192 210 222 232	-806696955922
SPT(16)	798821611074822557	0 32 62 66 120 122 146 162 164 180 204 206 260 264 294 326	-716158486992
TPT(14)	798821647979350997	0 2 72 74 150 152 180 182 234 236 372 374 390 392	-679253958552
STPT(10)	798821741889024587	0 2 30 32 42 44 54 56 84 86	-585344284962
STPT(10)	798822470993201069	0 2 18 20 30 32 42 44 60 62	143759891520
STPT(10)	798822694005134081	0 2 6 8 48 50 90 92 96 98	366771824532
SPT(16)	798822723709346233	0 16 30 34 36 78 118 120 154 156 196 238 240 244 258 274	396476036684
STPT(10)	798822916850104931	0 2 36 38 78 80 120 122 156 158	589616795382
SPT(16)	798823044364669747	0 34 54 82 106 132 142 150 166 174 184 210 234 262 282 316	717131360198