Prime p₀= 2874885155743083737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2874883422404087833	0 18 46 48 58 70 76 88 186 198 204 216 226 228 256 274	-1733338995904
SPT(13)	2874883912919565119	0 60 102 132 138 150 180 210 222 228 258 300 360	-1242823518618
SPT(16)	2874884591586765269	0 2 54 72 78 80 84 108 224 248 252 254 260 278 330 332	-564156318468
STPT(10)	2874884761356813221	0 2 30 32 78 80 126 128 156 158	-394386270516
TPT(14)	2874884985317534927	0 2 234 236 264 266 372 374 390 392 402 404 420 422	-170425548810
SPT(16)	2874885004889150987	0 26 30 60 86 90 140 144 236 240 290 294 320 350 354 380	-150853932750
SPT(16)	2874885167617360423	0 4 60 70 78 94 126 154 180 208 240 256 264 274 330 334	11874276686
STPT(10)	2874885322150643027	0 2 30 32 72 74 114 116 144 146	166407559290
STPT(10)	2874885841763904251	0 2 6 8 48 50 90 92 96 98	686020820514
STPT(10)	2874886136630267729	0 2 12 14 30 32 48 50 60 62	980887183992
STPT(10)	2874886257373535927	0 2 30 32 42 44 54 56 84 86	1101630452190