Prime p₀= 2746560866499448589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2746559876786583877	0 4 40 154 166 172 214 222 304 312 354 360 372 486 522 526	-989712864712
SPT(16)	2746560152123632627	0 12 46 100 102 172 180 186 250 256 264 334 336 390 424 436	-714375815962
STPT(10)	2746560235123498397	0 2 90 92 102 104 114 116 204 206	-631375950192
STPT(10)	2746560253438077257	0 2 24 26 42 44 60 62 84 86	-613061371332
SPT(18)	2746560421762521593	0 26 38 48 110 116 138 150 164 210 224 236 258 264 326 336 348 374	-444736926996
SPT(16)	2746560798747748849	0 18 34 40 54 70 72 172 180 280 282 298 312 318 334 352	-67751699740
SPT(16)	2746561073648038783	0 6 24 34 94 96 100 126 148 174 178 180 240 250 268 274	207148590194
SPT(16)	2746561515803608201	0 28 46 66 88 96 112 178 270 336 352 360 382 402 420 448	649304159612
SPT(16)	2746561521899363411	0 20 36 78 92 102 116 152 336 372 386 396 410 452 468 488	655399914822
STPT(10)	2746561649053700369	0 2 12 14 90 92 168 170 180 182	782554251780
SPT(16)	2746561901690889383	0 14 30 50 90 104 128 180 248 300 324 338 378 398 414 428	1035191440794