Prime p₀= 2507861750122757129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2507859886791430513	0 28 46 70 84 94 108 114 130 136 150 160 174 198 216 244	-1863331326616
SPT(16)	2507859888693494653	0 28 30 36 54 90 94 118 156 180 184 220 238 244 246 274	-1861429262476
SPT(16)	2507859951350691551	0 42 50 96 98 102 120 126 152 158 176 180 182 228 236 278	-1798772065578
SPT(16)	2507860510528797727	0 10 34 64 94 112 160 162 244 246 294 312 342 372 396 406	-1239593959402
SPT(16)	2507860607339189129	0 14 24 30 42 54 62 98 264 300 308 320 332 338 348 362	-1142783568000
SPT(16)	2507860755231248327	0 36 74 84 144 176 192 212 234 254 270 302 362 372 410 446	-994891508802
SPT(20)	2507861777679709519	0 18 78 84 124 144 148 154 190 208 300 318 354 360 364 384 424 430 490 508	27556952390
STPT(10)	2507862251221619729	0 2 48 50 90 92 132 134 180 182	501098862600
TPT(14)	2507862444437029487	0 2 12 14 54 56 120 122 132 134 150 152 234 236	694314272358
STPT(10)	2507862703049812019	0 2 18 20 30 32 42 44 60 62	952927054890
SPT(16)	2507862881961002537	0 26 54 80 122 152 174 180 236 242 264 294 336 362 390 416	1131838245408