Prime p₀= 2366915828331097331 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2366914602191111569	0 24 42 48 88 102 114 130 132 148 160 174 214 220 238 262	-1226139985762
SPT(16)	2366914717763653219	0 52 60 142 198 208 220 232 270 282 294 304 360 442 450 502	-1110567444112
TPT(14)	2366915364525289559	0 2 48 50 90 92 120 122 252 254 258 260 408 410	-463805807772
STPT(10)	2366915521834158401	0 2 30 32 120 122 210 212 240 242	-306496938930
SPT(16)	2366915607043574989	0 12 28 72 100 138 168 178 294 304 334 372 400 444 460 472	-221287522342
TPT(14)	2366915653933985249	0 2 12 14 138 140 210 212 240 242 252 254 270 272	-174397112082
STPT(10)	2366915845831197641	0 2 30 32 78 80 126 128 156 158	17500100310
STPT(10)	2366915982782272037	0 2 30 32 42 44 54 56 84 86	154451174706
STPT(10)	2366916000699428987	0 2 30 32 42 44 54 56 84 86	172368331656
SPT(16)	2366916167330469791	0 18 32 36 38 86 110 126 152 168 192 240 242 246 260 278	338999372460
SPT(20)	2366916407346930083	0 38 56 60 80 84 110 116 176 194 210 228 288 294 320 324 344 348 366 404	579015832752