Prime p₀= 2768073983702512757 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2768073082908935401	0 22 42 52 78 112 150 168 172 190 228 262 288 298 318 340	-900793577356
STPT(10)	2768073251990927117	0 2 12 14 42 44 72 74 84 86	-731711585640
SPT(16)	2768073387869022341	0 6 8 26 78 170 188 198 320 330 348 440 492 510 512 518	-595833490416
SPT(16)	2768073525140830033	0 40 46 66 70 96 106 130 144 168 178 204 208 228 234 274	-458561682724
SPT(16)	2768073527747567839	0 24 30 34 42 70 90 112 150 172 192 220 228 232 238 262	-455954944918
SPT(16)	2768073584916930473	0 36 50 68 120 128 144 164 240 260 276 284 336 354 368 404	-398785582284
SPT(20)	2768074286474895833	0 36 56 78 86 120 144 156 168 198 266 296 308 320 344 378 386 408 428 464	302772383076
SPT(16)	2768074739769168691	0 10 60 162 166 190 192 220 222 250 252 276 280 382 432 442	756066655934
SPT(16)	2768075254937078921	0 18 72 102 116 128 156 176 252 272 300 312 326 356 410 428	1271234566164
SPT(16)	2768075388569914691	0 2 8 38 50 60 78 102 146 170 188 198 210 240 246 248	1404867401934
SPT(16)	2768075884907773199	0 2 30 48 68 84 102 134 138 170 188 204 224 242 270 272	1901205260442