Prime p₀= 2362561070802153017 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2362560021738091271	0 42 78 122 222 260 266 270 308 312 318 356 456 500 536 578	-1049064061746
SPT(16)	2362560379886037103	0 54 84 94 100 114 126 136 138 148 160 174 180 190 220 274	-690916115914
STPT(10)	2362560469108416077	0 2 54 56 72 74 90 92 144 146	-601693736940
SPT(16)	2362560867824265359	0 20 42 44 72 98 164 174 188 198 264 290 318 320 342 362	-202977887658
TPT(14)	2362561049886471521	0 2 36 38 66 68 96 98 126 128 138 140 168 170	-20915681496
STPT(10)	2362561067064649481	0 2 30 32 60 62 90 92 120 122	-3737503536
SPT(16)	2362561460444536073	0 6 8 56 66 90 104 120 134 150 164 188 198 246 248 254	389642383056
STPT(10)	2362561469783113271	0 2 30 32 78 80 126 128 156 158	398980960254
SPT(16)	2362561517199624437	0 2 26 42 56 86 90 114 152 176 180 210 224 240 264 266	446397471420
TPT(14)	2362561527620385431	0 2 6 8 30 32 168 170 198 200 216 218 228 230	456818232414
SPT(16)	2362561642277577203	0 14 74 144 170 176 246 260 354 368 438 444 470 540 600 614	571475424186