Prime p₀= 1089181906297976927 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 58 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 132 134 144 146 204 206
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: 206
Found by: [SG-2W]Kurzer
db: batch=76, k=12, 2 58 2 10 2 58

SPT(16)	1089180863926354781	0 18 38 50 66 116 126 156 332 362 372 422 438 450 470 488	-1042371622146
SPT(16)	1089181160479375499	0 8 44 68 84 90 170 194 204 228 308 314 330 354 390 398	-745818601428
SPT(16)	1089181181779136417	0 14 116 156 186 212 222 236 240 254 264 290 320 360 462 476	-724518840510
SPT(18)	1089181333458845923	0 18 58 60 66 88 108 118 126 178 186 196 216 238 244 246 286 304	-572839131004
SPT(18)	1089181575088983011	0 18 42 48 56 96 102 110 150 188 228 236 242 282 290 296 320 338	-331208993916
TPT(14)	1089181906297976891	0 2 36 38 96 98 108 110 168 170 180 182 240 242	-36
SPT(16)	1089182186996276507	0 14 102 140 150 162 252 276 320 344 434 446 456 494 582 596	280698299580
STPT(10)	1089182392669664747	0 2 24 26 42 44 60 62 84 86	486371687820
TPT(14)	1089182490608128337	0 2 54 56 150 152 192 194 222 224 252 254 264 266	584310151410
STPT(10)	1089182571470666501	0 2 6 8 48 50 90 92 96 98	665172689574
SPT(16)	1089182877624161461	0 40 42 60 70 72 88 100 108 120 136 138 148 166 168 208	971326184534