Prime p₀= 2623797542166490757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2623796708109919939	0 22 60 72 84 90 112 150 154 192 214 220 232 244 282 304	-834056570818
SPT(16)	2623797088933823207	0 12 60 80 114 146 194 230 276 312 360 392 426 446 494 506	-453232667550
SPT(16)	2623797093556105499	0 30 54 62 74 92 114 120 194 200 222 240 252 260 284 314	-448610385258
SPT(16)	2623797139181190527	0 32 60 74 84 120 170 176 210 216 266 302 312 326 354 386	-402985300230
SPT(16)	2623797240683069207	0 26 30 50 72 74 86 110 126 150 162 164 186 206 210 236	-301483421550
TPT(14)	2623797309108140897	0 2 54 56 90 92 114 116 144 146 174 176 180 182	-233058349860
SPT(16)	2623797586421168369	0 20 62 72 78 92 108 164 168 224 240 254 260 270 312 332	44254677612
STPT(10)	2623797627850359011	0 2 6 8 18 20 30 32 36 38	85683868254
SPT(16)	2623797835405821799	0 18 22 64 72 160 174 190 222 238 252 340 348 390 394 412	293239331042
TPT(14)	2623798986099905231	0 2 60 62 168 170 210 212 270 272 300 302 336 338	1443933414474
STPT(10)	2623799646713169941	0 2 30 32 78 80 126 128 156 158	2104546679184