Prime p₀= 740673549276433457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=73, k=10, 2 22 2 16 2

TPT(14)	740672434808990681	0 2 6 8 60 62 96 98 126 128 216 218 228 230	-1114467442776
STPT(10)	740672444538495107	0 2 60 62 72 74 84 86 144 146	-1104737938350
SPT(16)	740672872144060369	0 10 12 48 72 78 82 112 120 150 154 160 184 220 222 232	-677132373088
TPT(14)	740672950603759931	0 2 36 38 156 158 336 338 396 398 420 422 426 428	-598672673526
STPT(10)	740673345166417277	0 2 24 26 42 44 60 62 84 86	-204110016180
STPT(10)	740673426824762441	0 2 6 8 48 50 90 92 96 98	-122451671016
STPT(10)	740673863140558349	0 2 30 32 60 62 90 92 120 122	313864124892
SPT(16)	740673919041339697	0 10 52 60 64 72 84 102 112 130 142 150 154 162 204 214	369764906240
SPT(16)	740674059445066111	0 10 22 52 70 72 148 150 190 192 268 270 288 318 330 340	510168632654
SPT(16)	740674639750418539	0 64 78 102 132 144 202 244 258 300 358 370 400 424 438 502	1090473985082
SPT(16)	740674695600768757	0 22 34 52 64 70 82 90 154 162 174 180 192 210 222 244	1146324335300