Prime p₀= 2780589732245832077 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: conf [MM]
db: batch=82, k=12, 2 28 2 10 2 16

SPT(13)	2780588316011137039	0 18 30 90 108 132 150 168 192 210 270 282 300	-1416234695038
SPT(16)	2780588397980103547	0 16 22 84 130 166 172 180 316 324 330 366 412 474 480 496	-1334265728530
STPT(10)	2780589292567868141	0 2 6 8 48 50 90 92 96 98	-439677963936
STPT(10)	2780589474882657419	0 2 42 44 60 62 78 80 120 122	-257363174658
SPT(16)	2780589729741069721	0 16 30 40 52 66 70 90 178 198 202 216 228 238 252 268	-2504762356
TPT(14)	2780589732245832047	0 2 30 32 60 62 72 74 90 92 102 104 132 134	-30
SPT(16)	2780590268152849343	0 20 60 74 78 126 140 144 230 234 248 296 300 314 354 374	535907017266
STPT(10)	2780590638862312607	0 2 60 62 102 104 144 146 204 206	906616480530
STPT(10)	2780590766073848249	0 2 18 20 30 32 42 44 60 62	1033828016172
SPT(16)	2780591833375600163	0 14 50 80 84 86 104 168 176 240 258 260 264 294 330 344	2101129768086
SPT(16)	2780591970044528447	0 20 36 80 86 126 132 140 162 170 176 216 222 266 282 302	2237798696370