Prime p₀= 726879025274623937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: crashtech
db: batch=73, k=10, 2 58 2 10 2

SPT(16)	726878532600955531	0 16 18 40 42 58 66 82 156 172 180 196 198 220 222 238	-492673668406
SPT(16)	726878602163342437	0 30 46 72 90 120 130 144 382 396 406 436 454 480 496 526	-423111281500
STPT(10)	726878677627232717	0 2 30 32 72 74 114 116 144 146	-347647391220
TPT(14)	726878680947649127	0 2 42 44 102 104 120 122 210 212 282 284 342 344	-344326974810
SPT(16)	726878809784199899	0 14 24 30 50 60 102 168 194 260 302 312 332 338 348 362	-215490424038
STPT(10)	726878832265305701	0 2 36 38 78 80 120 122 156 158	-193009318236
SPT(16)	726879449887420279	0 30 64 84 90 120 154 160 198 204 238 268 274 294 328 358	424612796342
SPT(16)	726879651409484297	0 6 36 44 54 72 90 92 174 176 194 212 222 230 260 266	626134860360
SPT(16)	726879670987350893	0 38 60 74 78 84 134 140 204 210 260 266 270 284 306 344	645712726956
STPT(10)	726879963139875497	0 2 30 32 42 44 54 56 84 86	937865251560
SPT(16)	726880721563844083	0 4 36 40 64 84 88 90 124 126 130 150 174 178 210 214	1696289220146