Prime p₀= 1458668803585752959 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 40 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 72 74 90 92 102 104
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: 104
Found by: [SG-2W]Kurzer
db: batch=78, k=12, 2 10 2 16 2 40

SPT(16)	1458667832574493459	0 10 28 52 78 112 130 150 190 210 228 262 288 312 330 340	-971011259500
SPT(16)	1458667848878850691	0 6 22 72 82 96 160 202 210 252 316 330 340 390 406 412	-954706902268
STPT(10)	1458667937188925327	0 2 42 44 72 74 102 104 144 146	-866396827632
SPT(16)	1458667947937086671	0 32 50 80 92 102 126 140 162 176 200 210 222 252 270 302	-855648666288
SPT(16)	1458668538100272419	0 8 18 42 48 50 62 72 230 240 252 254 260 284 294 302	-265485480540
STPT(10)	1458668555791313651	0 2 30 32 168 170 306 308 336 338	-247794439308
SPT(18)	1458668937920385721	0 12 18 36 40 150 168 190 238 270 318 340 358 468 472 490 496 508	134334632762
TPT(14)	1458669289002581351	0 2 48 50 78 80 180 182 210 212 216 218 306 308	485416828392
SPT(16)	1458669291758273159	0 24 60 80 102 104 108 110 132 134 138 140 162 182 218 242	488172520200
STPT(10)	1458669449869940447	0 2 42 44 72 74 102 104 144 146	646284187488
SPT(16)	1458669727075574081	0 48 56 60 92 102 120 132 236 248 266 276 308 312 320 368	923489821122