Prime p₀= 729429451220835527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: GLeeM
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	729427147313028971	0 56 60 78 126 158 206 248 378 420 468 500 548 566 570 626	-2303907806556
SPT(16)	729427497985142261	0 26 56 78 96 120 128 140 198 210 218 242 260 282 312 338	-1953235693266
SPT(16)	729428175699808769	0 8 20 32 38 84 164 188 204 228 308 354 360 372 384 392	-1275521026758
TPT(14)	729428353568485061	0 2 36 38 78 80 108 110 126 128 150 152 168 170	-1097652350466
TPT(14)	729428685213816557	0 2 30 32 132 134 144 146 222 224 300 302 390 392	-766007018970
SPT(16)	729429322503116869	0 18 34 124 138 142 144 154 228 238 240 244 258 348 364 382	-128717718658
STPT(10)	729429765962541401	0 2 6 8 18 20 30 32 36 38	314741705874
SPT(16)	729429833669073371	0 8 30 48 60 86 90 98 108 116 120 146 158 176 198 206	382448237844
STPT(10)	729429841522496729	0 2 18 20 30 32 42 44 60 62	390301661202
STPT(10)	729429924809856197	0 2 42 44 72 74 102 104 144 146	473589020670
SPT(16)	729430206099700481	0 26 38 48 98 110 122 182 186 246 258 270 320 330 342 368	754878864954