Prime p₀= 2378671799571378737 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: [SG-2W]Kurzer
db: batch=81, k=12, 2 22 2 4 2 22

STPT(10)	2378669661718803149	0 2 48 50 90 92 132 134 180 182	-2137852575588
SPT(16)	2378669892029833057	0 24 36 64 76 102 144 162 244 262 304 330 342 370 382 406	-1907541545680
STPT(10)	2378670300236130881	0 2 120 122 138 140 156 158 276 278	-1499335247856
SPT(16)	2378670756466173313	0 4 34 48 78 106 114 118 126 130 138 166 196 210 240 244	-1043105205424
SPT(16)	2378671046137499467	0 6 12 16 54 90 142 214 282 354 406 442 480 484 490 496	-753433879270
SPT(16)	2378671642521845051	0 12 62 66 68 90 108 128 150 170 188 210 212 216 266 278	-157049533686
SPT(16)	2378671824482489117	0 2 14 44 66 80 84 102 134 152 156 170 192 222 234 236	24911110380
TPT(14)	2378672035039550399	0 2 78 80 90 92 162 164 198 200 240 242 282 284	235468171662
SPT(16)	2378672064819258421	0 118 148 156 162 178 202 232 246 276 300 316 322 330 360 478	265247879684
STPT(10)	2378672229116178167	0 2 12 14 72 74 132 134 144 146	429544799430
SPT(16)	2378673027363485141	0 56 66 80 92 102 122 150 182 210 230 240 252 266 276 332	1227792106404