Prime p₀= 1049026992717549257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1049026077790976003	0 14 26 116 158 174 210 228 356 374 410 426 468 558 570 584	-914926573254
SPT(16)	1049026315834918093	0 4 24 28 100 226 234 270 274 310 318 444 516 520 540 544	-676882631164
SPT(16)	1049026525496535017	0 20 24 60 80 92 116 126 200 210 234 246 266 302 306 326	-467221014240
STPT(10)	1049026546389205199	0 2 48 50 90 92 132 134 180 182	-446328344058
SPT(16)	1049026631388700201	0 6 18 46 48 72 108 112 156 160 196 220 222 250 262 268	-361328849056
SPT(16)	1049026816546984789	0 12 42 52 132 154 174 180 262 268 288 310 390 400 430 442	-176170564468
SPT(16)	1049027171629363709	0 18 24 30 44 54 74 84 128 138 158 168 182 188 194 212	178911814452
STPT(10)	1049027771240186357	0 2 42 44 72 74 102 104 144 146	778522637100
SPT(16)	1049027856664176859	0 18 94 108 112 142 150 210 292 352 360 390 394 408 484 502	863946627602
STPT(10)	1049027946464353127	0 2 30 32 42 44 54 56 84 86	953746803870
TPT(14)	1049028504990884147	0 2 30 32 72 74 162 164 210 212 342 344 372 374	1512273334890