Prime p₀= 2768870425982770997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2768868078106338137	0 14 24 26 42 96 116 146 150 180 200 254 270 272 282 296	-2347876432860
SPT(16)	2768868232674264121	0 16 60 100 102 108 136 148 150 162 190 196 198 238 282 298	-2193308506876
TPT(14)	2768868890898177647	0 2 72 74 240 242 312 314 324 326 360 362 444 446	-1535084593350
SPT(16)	2768869126549677119	0 20 42 48 78 92 104 122 180 198 210 224 254 260 282 302	-1299433093878
SPT(16)	2768869484065274203	0 6 96 108 118 136 154 174 280 300 318 336 346 358 448 454	-941917496794
SPT(16)	2768869536436404587	0 36 84 96 102 114 120 140 156 176 182 194 200 212 260 296	-889546366410
SPT(16)	2768870457981676603	0 10 34 58 100 150 220 228 286 294 364 414 456 480 504 514	31998905606
SPT(16)	2768870561801263721	0 8 32 36 138 140 162 170 228 236 258 260 362 366 390 398	135818492724
SPT(16)	2768870734970558843	0 14 36 66 74 78 80 140 144 204 206 210 218 248 270 284	308987787846
STPT(10)	2768871761848823999	0 2 18 20 30 32 42 44 60 62	1335866053002
TPT(14)	2768872023674929451	0 2 30 32 66 68 198 200 270 272 276 278 318 320	1597692158454