Prime p₀= 2066724063481135169 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 94 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 138 140 168 170 180 182
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: 182
Found by: Cruncher Pete
db: batch=80, k=12, 2 10 2 28 2 94

SPT(16)	2066722982621503673	0 18 26 38 54 56 84 126 158 200 228 230 246 258 266 284	-1080859631496
SPT(16)	2066723169935991971	0 18 26 32 42 68 108 122 126 140 180 206 216 222 230 248	-893545143198
STPT(10)	2066723214745736711	0 2 36 38 108 110 180 182 216 218	-848735398458
SPT(16)	2066723250636492263	0 36 56 90 98 140 170 176 180 186 216 258 266 300 320 356	-812844642906
STPT(10)	2066723757895970309	0 2 12 14 90 92 168 170 180 182	-305585164860
SPT(16)	2066723807165318459	0 14 114 132 152 200 212 224 228 240 252 300 320 338 438 452	-256315816710
TPT(16)	2066724063481135169	0 2 12 14 42 44 138 140 168 170 180 182 198 200 222 224	0
SPT(16)	2066724319929814201	0 18 48 70 108 132 150 156 172 178 196 220 258 280 310 328	256448679032
STPT(10)	2066724394489365971	0 2 6 8 48 50 90 92 96 98	331008230802
STPT(10)	2066724485660743001	0 2 30 32 60 62 90 92 120 122	422179607832
STPT(10)	2066724923548999067	0 2 12 14 72 74 132 134 144 146	860067863898