Prime p₀= 726743046167814881 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: Theadalus
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	726742229704421239	0 24 28 64 70 78 112 138 154 180 214 222 228 264 268 292	-816463393642
STPT(10)	726742316529712667	0 2 30 32 60 62 90 92 120 122	-729638102214
STPT(10)	726742722824757941	0 2 30 32 78 80 126 128 156 158	-323343056940
SPT(16)	726742729459858847	0 24 32 54 66 80 84 110 126 152 156 170 182 204 212 236	-316707956034
SPT(16)	726742858280074873	0 48 96 118 160 186 208 216 220 228 250 276 318 340 388 436	-187887740008
STPT(10)	726742864971714419	0 2 48 50 90 92 132 134 180 182	-181196100462
SPT(16)	726743310284965769	0 8 54 68 104 120 174 180 182 188 242 258 294 308 354 362	264117150888
TPT(14)	726743314350156197	0 2 24 26 54 56 84 86 150 152 162 164 204 206	268182341316
SPT(16)	726743470674490771	0 40 66 78 90 106 108 112 216 220 222 238 250 262 288 328	424506675890
STPT(10)	726743685275465909	0 2 18 20 60 62 102 104 120 122	639107651028
SPT(16)	726743821952397773	0 38 56 68 128 138 146 150 254 258 266 276 336 348 366 404	775784582892