Prime p₀= 4305617695068489851 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: Chooka
db: batch=85, k=10, 2 4 2 10 2

STPT(10)	4305615820522920647	0 2 42 44 72 74 102 104 144 146	-1874545569204
STPT(10)	4305616454754146171	0 2 6 8 48 50 90 92 96 98	-1240314343680
SPT(18)	4305617295982708847	0 12 50 96 102 110 126 152 176 270 294 320 336 344 350 396 434 446	-399085781004
SPT(16)	4305617364566726129	0 12 48 110 120 122 150 188 252 290 318 320 330 392 428 440	-330501763722
SPT(16)	4305617439279001403	0 50 68 90 104 134 140 180 218 258 264 294 308 330 348 398	-255789488448
SPT(16)	4305617486543504293	0 16 18 24 70 78 84 88 336 340 346 354 400 406 408 424	-208524985558
SPT(16)	4305617819942339581	0 6 10 16 28 30 42 72 106 136 148 150 162 168 172 178	124873849730
SPT(16)	4305618014146189159	0 18 30 34 48 70 72 100 102 130 132 154 168 172 184 202	319077699308
STPT(10)	4305618468384853559	0 2 18 20 30 32 42 44 60 62	773316363708
SPT(16)	4305618673624365989	0 14 38 78 80 84 104 140 162 198 218 222 224 264 288 302	978555876138
SPT(16)	4305618826501910221	0 10 12 58 96 142 192 196 222 226 276 322 360 406 408 418	1131433420370