Prime p₀= 2611583992180025459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Conan
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2611582465286188529	0 24 84 102 108 114 122 150 182 210 218 224 230 248 308 332	-1526893836930
STPT(10)	2611582490241139607	0 2 132 134 192 194 252 254 384 386	-1501938885852
STPT(10)	2611582552126208429	0 2 18 20 30 32 42 44 60 62	-1440053817030
SPT(16)	2611582763167087091	0 26 50 72 98 140 152 156 182 186 198 240 266 288 312 338	-1229012938368
STPT(10)	2611582979343199031	0 2 30 32 78 80 126 128 156 158	-1012836826428
TPT(14)	2611583379010151111	0 2 18 20 150 152 156 158 198 200 228 230 276 278	-613169874348
SPT(16)	2611584045708444613	0 4 16 30 76 78 120 130 144 154 196 198 244 258 270 274	53528419154
STPT(10)	2611584638824458887	0 2 42 44 72 74 102 104 144 146	646644433428
SPT(16)	2611584724716655279	0 28 34 48 54 60 120 138 190 208 268 274 280 294 300 328	732536629820
SPT(16)	2611584925161181507	0 24 30 46 70 90 96 102 124 130 136 156 180 196 202 226	932981156048
STPT(10)	2611584933430483859	0 2 30 32 60 62 90 92 120 122	941250458400