Prime p₀= 2598566806391776271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2598566054633532989	0 24 92 98 102 122 180 222 230 272 330 350 354 360 428 452	-751758243282
SPT(16)	2598566139258574109	0 14 18 30 44 80 92 102 140 150 162 198 212 224 228 242	-667133202162
STPT(10)	2598566251037116991	0 2 36 38 78 80 120 122 156 158	-555354659280
SPT(16)	2598566333051417741	0 90 96 126 150 152 162 176 192 206 216 218 242 272 278 368	-473340358530
STPT(10)	2598566375882116877	0 2 30 32 42 44 54 56 84 86	-430509659394
STPT(10)	2598566422523452391	0 2 36 38 108 110 180 182 216 218	-383868323880
STPT(10)	2598566963647669967	0 2 30 32 42 44 54 56 84 86	157255893696
STPT(10)	2598567006146845379	0 2 48 50 60 62 72 74 120 122	199755069108
STPT(10)	2598567336527281541	0 2 36 38 78 80 120 122 156 158	530135505270
SPT(16)	2598567406402820431	0 42 76 78 82 102 126 148 150 172 196 216 220 222 256 298	600011044160
TPT(14)	2598567434193828701	0 2 6 8 30 32 36 38 48 50 168 170 198 200	627802052430