Prime p₀= 853655716252189007 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 16 2 88 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 132 134 150 152 174 176
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: 176
Found by: Vitalii Koshura
db: batch=73, k=12, 2 22 2 16 2 88

STPT(10)	853654493945491097	0 2 30 32 72 74 114 116 144 146	-1222306697910
SPT(16)	853654558143144313	0 10 24 48 54 64 76 78 166 168 180 190 196 220 234 244	-1158109044694
SPT(16)	853654814116506403	0 46 70 106 124 138 150 156 178 184 196 210 228 264 288 334	-902135682604
STPT(10)	853655208561687209	0 2 18 20 30 32 42 44 60 62	-507690501798
STPT(10)	853655326068636197	0 2 12 14 42 44 72 74 84 86	-390183552810
STPT(10)	853655513767104941	0 2 6 8 48 50 90 92 96 98	-202485084066
TPT(14)	853655898222085499	0 2 30 32 78 80 102 104 162 164 168 170 342 344	181969896492
SPT(16)	853655903795331047	0 54 60 90 102 104 132 182 192 242 270 272 284 314 320 374	187543142040
STPT(10)	853655928070286657	0 2 30 32 42 44 54 56 84 86	211818097650
STPT(10)	853655938506340139	0 2 18 20 60 62 102 104 120 122	222254151132
SPT(16)	853655943574553401	0 6 10 52 60 72 78 88 90 100 106 118 126 168 172 178	227322364394