Prime p₀= 2544250344635433617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2544249009468932239	0 18 22 78 102 112 130 148 174 192 210 220 244 300 304 322	-1335166501378
SPT(16)	2544249079904183317	0 46 72 94 100 102 144 172 204 232 274 276 282 304 330 376	-1264731250300
STPT(10)	2544249332013550457	0 2 30 32 102 104 174 176 204 206	-1012621883160
STPT(10)	2544249751586478077	0 2 30 32 102 104 174 176 204 206	-593048955540
SPT(16)	2544249797048145787	0 54 72 82 130 142 150 174 262 286 294 306 354 364 382 436	-547587287830
SPT(16)	2544250079092703309	0 38 44 72 108 194 198 210 212 224 228 314 350 378 384 422	-265542730308
STPT(10)	2544250391240917361	0 2 30 32 60 62 90 92 120 122	46605483744
STPT(10)	2544250492996690727	0 2 12 14 42 44 72 74 84 86	148361257110
SPT(16)	2544251006230182533	0 6 26 30 44 60 110 114 170 174 224 240 254 258 278 284	661594748916
SPT(20)	2544251133425556617	0 12 20 30 56 60 110 140 152 156 170 174 186 216 266 270 296 306 314 326	788790123000
TPT(14)	2544251328230098229	0 2 30 32 42 44 120 122 138 140 150 152 210 212	983594664612