Prime p₀= 1245259238475117161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1245257054972040793	0 18 34 40 48 60 64 100 144 180 184 196 204 210 226 244	-2183503076368
STPT(12)	1245257447491294889	0 2 12 14 42 44 78 80 108 110 120 122	-1790983822272
SPT(16)	1245257932353461713	0 16 18 60 108 156 166 168 238 240 250 298 346 388 390 406	-1306121655448
SPT(16)	1245258361419995789	0 20 122 168 170 182 228 230 252 254 300 312 314 360 462 482	-877055121372
STPT(10)	1245258407026680329	0 2 48 50 90 92 132 134 180 182	-831448436832
SPT(16)	1245258726399940477	0 40 54 64 150 184 186 220 240 274 276 310 396 406 420 460	-512075176684
SPT(16)	1245259374038861173	0 18 24 46 66 76 88 100 144 156 168 178 198 220 226 244	135563744012
SPT(16)	1245260211741863167	0 42 64 144 154 174 180 222 274 316 322 342 352 432 454 496	973266746006
STPT(10)	1245260695394639387	0 2 90 92 102 104 114 116 204 206	1456919522226
SPT(16)	1245260750605914013	0 10 28 66 76 184 196 226 228 258 270 378 388 426 444 454	1512130796852
TPT(14)	1245261164707684181	0 2 30 32 66 68 78 80 168 170 180 182 336 338	1926232567020