Prime p₀= 740370423589217147 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

SPT(16)	740368904266641547	0 66 94 100 106 120 126 154 156 184 190 204 210 216 244 310	-1519322575600
STPT(10)	740368992521624507	0 2 30 32 42 44 54 56 84 86	-1431067592640
SPT(16)	740369188188064417	0 16 42 72 112 120 126 132 184 190 196 204 244 274 300 316	-1235401152730
SPT(16)	740369317201930553	0 26 30 56 60 68 74 140 144 210 216 224 228 254 258 284	-1106387286594
SPT(16)	740369323831829063	0 26 50 98 168 210 248 264 290 306 344 386 456 504 528 554	-1099757388084
SPT(16)	740370098056061041	0 48 76 100 108 118 126 160 186 220 228 238 246 270 298 346	-325533156106
STPT(10)	740370533980085579	0 2 18 20 30 32 42 44 60 62	110390868432
SPT(16)	740371327296326437	0 6 64 84 90 112 144 162 214 232 264 286 292 312 370 376	903707109290
SPT(16)	740371804525106191	0 16 48 72 96 130 132 138 190 196 198 232 256 280 312 328	1380935889044
SPT(16)	740372085046236179	0 8 20 62 132 138 140 158 162 180 182 188 258 300 312 320	1661457019032
SPT(16)	740372135331655663	0 36 40 46 58 148 168 196 198 226 246 336 348 354 358 394	1711742438516