Prime p₀= 2678312101327451957 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2678310491503108303	0 24 28 30 88 114 118 150 238 270 274 300 358 360 364 388	-1609824343654
SPT(16)	2678310985247867219	0 42 48 104 120 158 162 180 182 200 204 242 258 314 320 362	-1116079584738
SPT(16)	2678311156079961799	0 18 22 28 42 90 118 150 172 204 232 280 294 300 304 322	-945247490158
STPT(10)	2678311847502710327	0 2 30 32 42 44 54 56 84 86	-253824741630
STPT(10)	2678311934455743401	0 2 6 8 48 50 90 92 96 98	-166871708556
SPT(16)	2678312071164680351	0 18 20 32 38 42 66 90 98 122 146 150 156 168 170 188	-30162771606
STPT(10)	2678312147797060457	0 2 12 14 72 74 132 134 144 146	46469608500
SPT(16)	2678312309323773277	0 4 42 70 96 100 106 114 262 270 276 280 306 334 372 376	207996321320
STPT(10)	2678312692781484329	0 2 18 20 30 32 42 44 60 62	591454032372
SPT(16)	2678312695983840869	0 2 74 92 122 128 134 150 182 198 204 210 240 258 330 332	594656388912
STPT(10)	2678312804845607729	0 2 48 50 60 62 72 74 120 122	703518155772