Prime p₀= 2782741353656073767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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 58 2 10 2

SPT(16)	2782740409373905997	0 2 24 30 74 104 132 174 242 284 312 342 386 392 414 416	-944282167770
SPT(16)	2782740584020192693	0 10 18 28 34 66 94 100 144 150 178 210 216 226 234 244	-769635881074
SPT(16)	2782740806814633109	0 4 18 22 60 70 84 90 142 148 162 172 210 214 228 232	-546841440658
SPT(16)	2782740852467329447	0 4 16 36 42 66 70 82 84 96 100 124 130 150 162 166	-501188744320
SPT(16)	2782740984937393583	0 26 110 168 186 210 218 264 290 336 344 368 386 444 528 554	-368718680184
TPT(14)	2782741020769382639	0 2 72 74 108 110 150 152 168 170 192 194 282 284	-332886691128
TPT(14)	2782741703528271869	0 2 42 44 72 74 138 140 150 152 348 350 432 434	349872198102
SPT(16)	2782741842173218589	0 24 30 42 98 110 164 174 188 198 252 264 320 332 338 362	488517144822
SPT(16)	2782741865535861587	0 2 42 56 72 86 150 152 210 212 276 290 306 320 360 362	511879787820
SPT(16)	2782741987037430281	0 12 36 42 48 86 140 146 162 168 222 260 266 272 296 308	633381356514
TPT(14)	2782742288719679981	0 2 90 92 120 122 156 158 168 170 186 188 300 302	935063606214