Prime p₀= 1238028751735830809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: amazing
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1238027330481509039	0 30 44 84 104 108 120 132 170 182 194 198 218 258 272 302	-1421254321770
SPT(13)	1238027606426327191	0 12 30 60 90 126 156 186 222 252 282 300 312	-1145309503618
STPT(10)	1238027897404548671	0 2 36 38 78 80 120 122 156 158	-854331282138
SPT(16)	1238028045839702543	0 18 60 66 98 180 264 266 318 320 404 486 518 524 566 584	-705896128266
STPT(10)	1238028099713528489	0 2 42 44 60 62 78 80 120 122	-652022302320
SPT(16)	1238028618329028371	0 26 66 72 80 152 186 266 282 362 396 468 476 482 522 548	-133406802438
TPT(14)	1238028832890383579	0 2 48 50 78 80 90 92 132 134 168 170 222 224	81154552770
SPT(16)	1238029031487929381	0 2 30 38 42 86 96 228 260 392 402 446 450 458 486 488	279752098572
STPT(10)	1238029344684707129	0 2 18 20 60 62 102 104 120 122	592948876320
SPT(16)	1238029502254148239	0 10 18 28 34 54 70 94 174 198 214 234 240 250 258 268	750518317430
SPT(16)	1238029542887684543	0 20 38 90 128 138 168 188 216 236 266 276 314 366 384 404	791151853734