Prime p₀= 2611582552126208429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Conan
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2611581311733098387	0 2 12 14 72 74 132 134 144 146	-1240393110042
SPT(16)	2611581940288392689	0 2 18 48 62 78 80 122 168 210 212 228 242 272 288 290	-611837815740
SPT(16)	2611582237860029887	0 4 12 66 150 172 222 232 234 244 294 316 400 454 462 466	-314266178542
TPT(14)	2611582314246582329	0 2 42 44 48 50 90 92 102 104 162 164 168 170	-237879626100
SPT(16)	2611582465286188529	0 24 84 102 108 114 122 150 182 210 218 224 230 248 308 332	-86840019900
STPT(10)	2611582490241139607	0 2 132 134 192 194 252 254 384 386	-61885068822
SPT(16)	2611582763167087091	0 26 50 72 98 140 152 156 182 186 198 240 266 288 312 338	211040878662
STPT(10)	2611582979343199031	0 2 30 32 78 80 126 128 156 158	427216990602
TPT(14)	2611583379010151111	0 2 18 20 150 152 156 158 198 200 228 230 276 278	826883942682
STPT(10)	2611583992180025459	0 2 18 20 60 62 102 104 120 122	1440053817030
SPT(16)	2611584045708444613	0 4 16 30 76 78 120 130 144 154 196 198 244 258 270 274	1493582236184