Prime p₀= 2403769445532406667 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 40 2 16 2 22

TPT(14)	2403768619131333197	0 2 72 74 132 134 204 206 210 212 252 254 342 344	-826401073470
SPT(16)	2403769033549036961	0 12 20 30 62 120 132 152 156 176 188 246 278 288 296 308	-411983369706
STPT(10)	2403769113456155297	0 2 30 32 72 74 114 116 144 146	-332076251370
TPT(16)	2403769390569689759	0 2 42 44 192 194 198 200 240 242 282 284 348 350 390 392	-54962716908
SPT(16)	2403769395305327009	0 42 44 60 162 174 182 228 284 330 338 350 452 468 470 512	-50227079658
SPT(16)	2403769405607451359	0 44 60 90 104 114 132 162 170 200 218 228 242 272 288 332	-39924955308
TPT(14)	2403769839236035559	0 2 102 104 198 200 258 260 288 290 312 314 330 332	393703628892
SPT(16)	2403769873799919239	0 30 68 72 84 90 164 200 222 258 332 338 350 354 392 422	428267512572
STPT(10)	2403769901479493759	0 2 18 20 60 62 102 104 120 122	455947087092
STPT(10)	2403769966551835199	0 2 42 44 90 92 138 140 180 182	521019428532
SPT(16)	2403770444459780393	0 6 84 98 104 110 114 126 188 200 204 210 216 230 308 314	998927373726