Prime p₀= 2688759962050250507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2688758771566510661	0 30 72 98 102 128 140 156 182 198 210 236 240 266 308 338	-1190483739846
STPT(10)	2688759113488699967	0 2 42 44 72 74 102 104 144 146	-848561550540
SPT(16)	2688759257496512747	0 26 32 42 74 110 114 134 162 182 186 222 254 264 270 296	-704553737760
SPT(16)	2688759425781998717	0 26 30 36 42 56 74 80 156 162 180 194 200 206 210 236	-536268251790
SPT(16)	2688759697331547361	0 18 36 42 46 88 112 202 216 306 330 372 376 382 400 418	-264718703146
SPT(16)	2688759854912886211	0 6 22 30 48 72 106 118 150 162 196 220 238 246 262 268	-107137364296
SPT(16)	2688760063598597977	0 6 36 46 94 106 150 160 186 196 240 252 300 310 340 346	101548347470
SPT(16)	2688760161995671711	0 12 72 100 166 168 180 192 226 238 250 252 318 346 406 418	199945421204
SPT(16)	2688760197828653297	0 26 30 56 74 84 110 186 194 270 296 306 324 350 354 380	235778402790
SPT(16)	2688760273721066201	0 26 38 66 90 98 216 252 296 332 450 458 482 510 522 548	311670815694
STPT(10)	2688760509533916911	0 2 30 32 60 62 90 92 120 122	547483666404