Prime p₀= 1289364316890012887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1289363329351681427	0 2 42 54 72 104 140 152 204 216 252 284 302 314 354 356	-987538331460
SPT(18)	1289363558819400343	0 24 34 160 174 240 270 318 328 336 346 394 424 490 504 630 640 664	-758070612544
SPT(16)	1289363860340403313	0 16 48 64 78 88 90 96 148 154 156 166 180 196 228 244	-456549609574
STPT(10)	1289364043021424297	0 2 30 32 72 74 114 116 144 146	-273868588590
SPT(16)	1289364083209117603	0 6 34 76 84 88 94 100 204 210 216 220 228 270 298 304	-233680895284
TPT(14)	1289364253929251789	0 2 18 20 42 44 48 50 78 80 90 92 102 104	-62960761098
STPT(10)	1289364355143935867	0 2 24 26 42 44 60 62 84 86	38253922980
SPT(16)	1289364369462378529	0 22 60 94 102 130 132 144 178 190 192 220 228 262 300 322	52572365642
STPT(10)	1289364536372417171	0 2 6 8 18 20 30 32 36 38	219482404284
STPT(10)	1289365745234609591	0 2 6 8 48 50 90 92 96 98	1428344596704
SPT(16)	1289366223212027507	0 24 30 84 126 144 150 156 170 176 182 200 242 296 302 326	1906322014620