Prime p₀= 2772046995953923937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2772046098071258221	0 6 10 42 76 82 90 100 108 118 126 132 166 198 202 208	-897882665716
STPT(10)	2772046152463507817	0 2 60 62 72 74 84 86 144 146	-843490416120
STPT(10)	2772046232241464207	0 2 30 32 42 44 54 56 84 86	-763712459730
STPT(10)	2772046815147185657	0 2 54 56 72 74 90 92 144 146	-180806738280
TPT(14)	2772046824231007571	0 2 48 50 78 80 180 182 216 218 276 278 336 338	-171722916366
SPT(18)	2772046981040123693	0 8 26 30 128 140 176 188 216 218 246 258 294 306 404 408 426 434	-14913800244
SPT(16)	2772047093345642887	0 22 40 52 64 66 150 210 286 346 430 432 444 456 474 496	97391718950
SPT(16)	2772047323728281461	0 42 52 90 118 142 172 210 220 258 288 312 340 378 388 430	327774357524
STPT(10)	2772047496511484039	0 2 30 32 60 62 90 92 120 122	500557560102
SPT(16)	2772047602876441567	0 42 46 82 84 90 96 150 196 250 256 262 264 300 304 346	606922517630
SPT(16)	2772047713946731117	0 66 72 132 210 216 234 244 252 262 280 286 364 424 430 496	717992807180