Prime p₀= 729361722957936119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Theadalus
db: batch=73, k=10, 2 16 2 40 2

SPT(16)	729360185031840259	0 42 78 84 108 130 132 144 178 190 192 214 238 244 280 322	-1537926095860
STPT(10)	729360561432891671	0 2 6 8 48 50 90 92 96 98	-1161525044448
SPT(16)	729360719446759999	0 22 42 82 102 180 190 202 210 222 232 310 330 370 390 412	-1003511176120
SPT(16)	729360763570259581	0 18 52 66 70 90 112 126 172 186 208 228 232 246 280 298	-959387676538
SPT(16)	729361110050059111	0 6 10 88 100 102 118 126 202 210 226 228 240 318 322 328	-612907877008
SPT(16)	729361333302934847	0 50 54 56 110 114 116 126 170 180 182 186 240 242 246 296	-389655001272
SPT(16)	729361771249488193	0 4 36 60 64 70 88 144 190 246 264 270 274 298 330 334	48291552074
STPT(10)	729361810220249021	0 2 6 8 48 50 90 92 96 98	87262312902
SPT(16)	729362136152732359	0 4 34 72 82 138 154 160 222 228 244 300 310 348 378 382	413194796240
STPT(10)	729362500231183451	0 2 6 8 48 50 90 92 96 98	777273247332
STPT(10)	729362552277349811	0 2 6 8 18 20 30 32 36 38	829319413692