Prime p₀= 2089636018654976579 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 64 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 168 170 210 212 270 272
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: 272
Found by: Dr Who Fan
db: batch=80, k=12, 2 58 2 40 2 64

SPT(16)	2089634365373183911	0 28 46 52 100 112 118 156 172 210 216 228 276 282 300 328	-1653281792668
STPT(10)	2089634449250106971	0 2 36 38 78 80 120 122 156 158	-1569404869608
SPT(16)	2089634673062953981	0 30 60 66 72 82 90 112 156 178 186 196 202 208 238 268	-1345592022598
SPT(16)	2089635142223444243	0 30 44 54 116 200 218 228 236 246 264 348 410 420 434 464	-876431532336
SPT(16)	2089635191341254749	0 30 78 128 150 164 168 192 230 254 258 272 294 344 392 422	-827313721830
STPT(10)	2089635337990871507	0 2 42 44 72 74 102 104 144 146	-680664105072
TPT(14)	2089636073153477699	0 2 12 14 30 32 48 50 90 92 168 170 198 200	54498501120
STPT(10)	2089636332849967511	0 2 30 32 78 80 126 128 156 158	314194990932
SPT(18)	2089636693597287421	0 6 12 16 42 90 108 112 132 136 156 160 178 226 252 256 262 268	674942310842
STPT(10)	2089636913257125929	0 2 12 14 90 92 168 170 180 182	894602149350
STPT(10)	2089637119392932279	0 2 18 20 30 32 42 44 60 62	1100737955700