Prime p₀= 729436275607379687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	729435049744075123	0 96 124 126 138 144 154 166 168 180 190 196 208 210 238 334	-1225863304564
SPT(16)	729435500809875467	0 14 20 56 66 72 104 114 122 132 164 170 180 216 222 236	-774797504220
SPT(16)	729435718491552739	0 60 88 102 112 130 162 190 192 220 252 270 280 294 322 382	-557115826948
STPT(10)	729435899096493707	0 2 24 26 42 44 60 62 84 86	-376510885980
SPT(16)	729436050834168343	0 4 24 28 78 84 94 154 180 240 250 256 306 310 330 334	-224773211344
SPT(16)	729436073951178383	0 44 56 84 104 140 164 170 234 240 264 300 320 348 360 404	-201656201304
SPT(16)	729436275764945911	0 22 70 96 100 112 130 136 156 162 180 192 196 222 270 292	157566224
SPT(16)	729436319410594633	0 40 48 84 90 120 126 154 180 208 214 244 250 286 294 334	43803214946
STPT(12)	729436355532919589	0 2 42 44 60 62 102 104 120 122 162 164	79925539902
STPT(10)	729436508935025789	0 2 18 20 30 32 42 44 60 62	233327646102
STPT(10)	729436631703344867	0 2 30 32 42 44 54 56 84 86	356095965180