Prime p₀= 1623566674230794471 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 40 2 4 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 126 128 168 170 246 248
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: 248
Found by: biodoc
db: batch=78, k=12, 2 76 2 40 2 4

SPT(16)	1623565772544536789	0 12 128 134 170 210 234 254 288 308 332 372 408 414 530 542	-901686257682
SPT(16)	1623565790415250771	0 22 36 60 102 172 216 250 342 376 420 490 532 556 570 592	-883815543700
TPT(14)	1623566506228527317	0 2 72 74 84 86 90 92 132 134 144 146 162 164	-168002267154
SPT(16)	1623566597456426869	0 54 94 100 124 138 148 190 198 240 250 264 288 294 334 388	-76774367602
STPT(10)	1623566620213349129	0 2 48 50 90 92 132 134 180 182	-54017445342
STPT(10)	1623566632290371981	0 2 36 38 78 80 120 122 156 158	-41940422490
STPT(10)	1623566921597676569	0 2 42 44 90 92 138 140 180 182	247366882098
STPT(10)	1623567117923540687	0 2 72 74 102 104 132 134 204 206	443692746216
SPT(16)	1623567230771684413	0 10 24 40 88 150 174 180 244 250 274 336 384 400 414 424	556540889942
TPT(14)	1623567258876401051	0 2 36 38 48 50 66 68 90 92 120 122 210 212	584645606580
STPT(10)	1623567439686175337	0 2 54 56 72 74 90 92 144 146	765455380866