Prime p₀= 1280834400156007127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Theadalus
db: batch=77, k=10, 2 10 2 58 2

SPT(16)	1280832382919288371	0 40 76 120 148 162 196 216 232 252 286 300 328 372 408 448	-2017236718756
TPT(14)	1280832745904002901	0 2 150 152 210 212 288 290 318 320 330 332 360 362	-1654252004226
SPT(16)	1280833099128203437	0 22 42 70 90 102 160 220 312 372 430 442 462 490 510 532	-1301027803690
STPT(10)	1280833212939432569	0 2 18 20 30 32 42 44 60 62	-1187216574558
SPT(16)	1280833273127881727	0 62 66 126 132 146 156 200 216 260 270 284 290 350 354 416	-1127028125400
SPT(20)	1280833633395786247	0 12 16 22 94 96 136 144 150 180 196 226 232 240 280 282 354 360 364 376	-766760220880
SPT(16)	1280834659796302339	0 10 40 78 88 102 112 144 148 180 190 204 214 252 282 292	259640295212
SPT(16)	1280834817582997139	0 2 108 150 240 248 260 264 308 312 324 332 422 464 570 572	417426990012
SPT(16)	1280834934308017607	0 32 60 72 84 114 134 140 156 162 182 212 224 236 264 296	534152010480
SPT(16)	1280835251303272783	0 28 46 76 88 96 130 150 154 174 208 216 228 258 276 304	851147265656
STPT(10)	1280835745317483107	0 2 30 32 210 212 390 392 420 422	1345161475980