Prime p₀= 1386959418576919001 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: sorcrosc
db: batch=77, k=12, 2 34 2 10 2 28

STPT(10)	1386958471349989631	0 2 36 38 78 80 120 122 156 158	-947226929370
SPT(16)	1386958564653530329	0 10 28 48 108 114 118 138 154 174 178 184 244 264 282 292	-853923388672
STPT(10)	1386958592272665089	0 2 18 20 30 32 42 44 60 62	-826304253912
SPT(16)	1386958627559977093	0 10 24 76 94 108 156 196 198 238 286 300 318 370 384 394	-791016941908
SPT(16)	1386958729275352229	0 2 12 42 68 140 168 170 192 194 222 294 320 350 360 362	-689301566772
SPT(16)	1386959071430263789	0 12 108 132 168 174 208 238 384 414 448 454 490 514 610 622	-347146655212
TPT(14)	1386959418576919001	0 2 36 38 48 50 78 80 90 92 126 128 168 170	0
SPT(16)	1386959717811931397	0 14 26 36 50 56 72 92 114 134 150 156 170 180 192 206	299235012396
SPT(16)	1386959919448366283	0 14 80 98 104 138 146 158 216 228 236 270 276 294 360 374	500871447282
SPT(18)	1386959987889412241	0 42 48 50 62 78 120 138 152 156 170 188 230 246 258 260 266 308	569312493240
TPT(14)	1386960285397473947	0 2 12 14 54 56 180 182 252 254 264 266 294 296	866820554946