Prime p₀= 2592686171677231079 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: conf [MM]
db: batch=82, k=12, 2 28 2 28 2 40

SPT(16)	2592684682849976699	0 24 32 54 78 80 90 98 144 152 162 164 188 210 218 242	-1488827254380
STPT(10)	2592684713218193687	0 2 30 32 60 62 90 92 120 122	-1458459037392
SPT(16)	2592684763875626821	0 10 22 36 60 70 76 78 100 102 108 118 142 156 168 178	-1407801604258
SPT(16)	2592684925133483533	0 34 48 58 94 136 150 160 174 184 198 240 276 286 300 334	-1246543747546
SPT(16)	2592685310501686223	0 18 20 36 54 74 90 96 98 104 120 140 158 174 176 194	-861175544856
SPT(16)	2592685607164758823	0 76 100 160 168 186 198 210 256 268 280 298 306 366 390 466	-564512472256
TPT(14)	2592686224405965827	0 2 84 86 240 242 324 326 360 362 450 452 462 464	52728734748
STPT(10)	2592686706535225847	0 2 30 32 42 44 54 56 84 86	534857994768
STPT(10)	2592686834932121969	0 2 18 20 30 32 42 44 60 62	663254890890
STPT(10)	2592686892215786381	0 2 30 32 138 140 246 248 276 278	720538555302
STPT(12)	2592687168643500737	0 2 30 32 42 44 132 134 144 146 174 176	996966269658