Prime p₀= 1289364355143935867 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: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

SPT(18)	1289363558819400343	0 24 34 160 174 240 270 318 328 336 346 394 424 490 504 630 640 664	-796324535524
SPT(16)	1289363860340403313	0 16 48 64 78 88 90 96 148 154 156 166 180 196 228 244	-494803532554
STPT(10)	1289364043021424297	0 2 30 32 72 74 114 116 144 146	-312122511570
SPT(16)	1289364083209117603	0 6 34 76 84 88 94 100 204 210 216 220 228 270 298 304	-271934818264
TPT(14)	1289364253929251789	0 2 18 20 42 44 48 50 78 80 90 92 102 104	-101214684078
STPT(10)	1289364316890012887	0 2 30 32 42 44 54 56 84 86	-38253922980
SPT(16)	1289364369462378529	0 22 60 94 102 130 132 144 178 190 192 220 228 262 300 322	14318442662
STPT(10)	1289364536372417171	0 2 6 8 18 20 30 32 36 38	181228481304
STPT(10)	1289365745234609591	0 2 6 8 48 50 90 92 96 98	1390090673724
SPT(16)	1289366223212027507	0 24 30 84 126 144 150 156 170 176 182 200 242 296 302 326	1868068091640
SPT(16)	1289366257568124973	0 18 70 178 196 208 228 238 276 286 306 318 336 444 496 514	1902424189106