Prime p₀= 905438615289220667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Theadalus
db: batch=76, k=10, 2 88 2 40 2

SPT(16)	905437325498479393	0 6 28 58 90 100 154 180 274 300 354 364 396 426 448 454	-1289790741274
STPT(10)	905437641144642797	0 2 42 44 102 104 162 164 204 206	-974144577870
SPT(18)	905437820855430893	0 20 24 44 78 90 116 134 158 216 240 258 284 296 330 350 354 374	-794433789774
STPT(10)	905437829469924809	0 2 42 44 60 62 78 80 120 122	-785819295858
SPT(16)	905438061595374017	0 12 54 102 110 152 162 222 284 344 354 396 404 452 494 506	-553693846650
SPT(16)	905438105136557519	0 20 48 50 72 74 134 164 168 198 258 260 282 284 312 332	-510152663148
SPT(16)	905438820706483081	0 6 28 36 58 76 78 118 198 238 240 258 280 288 310 316	205417262414
SPT(16)	905439056147458873	0 34 40 60 124 126 150 166 174 190 214 216 280 300 306 340	440858238206
SPT(16)	905439366402086959	0 48 58 60 84 88 120 150 238 268 300 304 328 330 340 388	751112866292
SPT(16)	905439390069770279	0 20 78 138 204 258 260 302 390 432 434 488 554 614 672 692	774780549612
STPT(10)	905439415184716187	0 2 12 14 42 44 72 74 84 86	799895495520