Prime p₀= 729429322503116869 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 16 90 14 4 2 10 74 10 2 4 14 90 16 18 (?)
a_n: 0 18 34 124 138 142 144 154 228 238 240 244 258 348 364 382
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 382
Found by: GLeeM
db: batch=73, k=16, 18 16 90 14 4 2 10 74

STPT(10)	729426735481437857	0 2 54 56 132 134 210 212 264 266	-2587021679012
SPT(16)	729427147313028971	0 56 60 78 126 158 206 248 378 420 468 500 548 566 570 626	-2175190087898
SPT(16)	729427497985142261	0 26 56 78 96 120 128 140 198 210 218 242 260 282 312 338	-1824517974608
SPT(16)	729428175699808769	0 8 20 32 38 84 164 188 204 228 308 354 360 372 384 392	-1146803308100
TPT(14)	729428353568485061	0 2 36 38 78 80 108 110 126 128 150 152 168 170	-968934631808
TPT(14)	729428685213816557	0 2 30 32 132 134 144 146 222 224 300 302 390 392	-637289300312
STPT(10)	729429451220835527	0 2 30 32 42 44 54 56 84 86	128717718658
STPT(10)	729429765962541401	0 2 6 8 18 20 30 32 36 38	443459424532
SPT(16)	729429833669073371	0 8 30 48 60 86 90 98 108 116 120 146 158 176 198 206	511165956502
STPT(10)	729429841522496729	0 2 18 20 30 32 42 44 60 62	519019379860
STPT(10)	729429924809856197	0 2 42 44 72 74 102 104 144 146	602306739328