Prime p₀= 2702133750803952737 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2702132524252928197	0 6 54 90 106 114 156 162 244 250 292 300 316 352 400 406	-1226551024540
STPT(10)	2702132724770107841	0 2 36 38 78 80 120 122 156 158	-1026033844896
SPT(16)	2702133076229010289	0 28 48 64 78 120 130 132 160 162 172 214 228 244 264 292	-674574942448
STPT(10)	2702133240393225809	0 2 42 44 60 62 78 80 120 122	-510410726928
STPT(10)	2702133413514374891	0 2 6 8 18 20 30 32 36 38	-337289577846
STPT(10)	2702133732208145507	0 2 30 32 42 44 54 56 84 86	-18595807230
STPT(10)	2702134024264555427	0 2 30 32 42 44 54 56 84 86	273460602690
SPT(16)	2702134342060854817	0 30 46 70 96 114 120 132 154 166 172 190 216 240 256 286	591256902080
TPT(14)	2702134636202012909	0 2 78 80 162 164 228 230 258 260 300 302 408 410	885398060172
STPT(10)	2702134932078126827	0 2 60 62 72 74 84 86 144 146	1181274174090
STPT(10)	2702135760237507017	0 2 54 56 72 74 90 92 144 146	2009433554280