Prime p₀= 729473415738861767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: crashtech
db: batch=73, k=10, 2 28 2 88 2

SPT(16)	729472786703762261	0 26 32 42 66 90 116 128 210 222 248 272 296 306 312 338	-629035099506
SPT(16)	729472866267544379	0 2 14 74 80 92 102 122 282 302 312 324 330 390 402 404	-549471317388
TPT(14)	729472954481263079	0 2 138 140 168 170 192 194 222 224 258 260 378 380	-461257598688
TPT(14)	729473000658179957	0 2 12 14 54 56 90 92 114 116 180 182 240 242	-415080681810
SPT(16)	729473005065714661	0 10 36 52 126 156 160 162 190 192 196 226 300 316 342 352	-410673147106
SPT(16)	729473307711292877	0 6 42 62 96 110 120 132 140 152 162 176 210 230 266 272	-108027568890
STPT(10)	729473442572614301	0 2 78 80 168 170 258 260 336 338	26833752534
SPT(16)	729473469509602991	0 6 56 66 192 216 242 248 270 276 302 326 452 462 512 518	53770741224
SPT(16)	729473717541157777	0 30 34 60 66 70 82 112 114 144 156 160 166 192 196 226	301802296010
SPT(16)	729473891865781723	0 36 48 78 118 124 138 160 204 226 240 246 286 316 328 364	476126919956
SPT(16)	729474023745000419	0 2 12 20 54 74 84 110 132 158 168 188 222 230 240 242	608006138652