Prime p₀= 976903701128005709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Theadalus
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	976902309435669979	0 24 64 90 108 124 138 150 178 190 204 220 238 264 304 328	-1391692335730
TPT(14)	976902525638768369	0 2 12 14 42 44 180 182 210 212 240 242 252 254	-1175489237340
TPT(14)	976902736593877151	0 2 90 92 126 128 186 188 198 200 210 212 246 248	-964534128558
TPT(14)	976903081082409119	0 2 60 62 90 92 210 212 300 302 330 332 342 344	-620045596590
STPT(10)	976903437751836071	0 2 36 38 78 80 120 122 156 158	-263376169638
STPT(10)	976903550538205139	0 2 12 14 90 92 168 170 180 182	-150589800570
SPT(16)	976903702591782541	0 6 10 70 108 118 156 160 228 232 270 280 318 378 382 388	1463776832
SPT(16)	976904100232991339	0 2 14 44 54 90 92 104 120 132 134 170 180 210 222 224	399104985630
SPT(16)	976904169511525361	0 96 108 116 126 138 140 152 156 168 170 182 192 200 212 308	468383519652
SPT(16)	976904418220382143	0 18 24 66 76 78 108 150 154 196 226 228 238 280 286 304	717092376434
SPT(16)	976904668361868371	0 6 20 42 48 90 116 146 192 222 248 290 296 318 332 338	967233862662