Prime p₀= 1263599602819659401 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: rlacr
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1263597216479691007	0 4 12 24 52 82 90 132 172 214 222 252 280 292 300 304	-2386339968394
STPT(10)	1263597277298692199	0 2 42 44 90 92 138 140 180 182	-2325520967202
TPT(14)	1263597446400683789	0 2 42 44 168 170 180 182 258 260 330 332 348 350	-2156418975612
SPT(16)	1263597496756631587	0 46 106 150 154 174 180 196 270 286 292 312 316 360 420 466	-2106063027814
SPT(16)	1263597556952031641	0 2 18 32 60 62 68 72 158 162 168 170 198 212 228 230	-2045867627760
SPT(16)	1263598737887829817	0 24 34 52 66 82 84 90 166 172 174 190 204 222 232 256	-864931829584
SPT(16)	1263600193947751813	0 6 24 40 66 76 130 150 160 180 234 244 270 286 304 310	591128092412
STPT(10)	1263600415831052207	0 2 30 32 42 44 54 56 84 86	813011392806
STPT(10)	1263600487857678791	0 2 6 8 18 20 30 32 36 38	885038019390
SPT(16)	1263600776677233719	0 2 8 44 48 54 62 110 282 330 338 344 348 384 390 392	1173857574318
SPT(16)	1263600924557461099	0 4 24 42 52 58 64 70 102 108 114 120 130 148 168 172	1321737801698