Prime p₀= 2598321921883313807 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2598320148958019593	0 16 28 34 46 76 90 126 148 184 198 228 240 246 258 274	-1772925294214
SPT(16)	2598320661125631521	0 2 36 56 60 78 140 162 206 228 290 308 312 332 366 368	-1260757682286
SPT(16)	2598320889112131839	0 38 42 50 80 108 110 132 140 162 164 192 222 230 234 272	-1032771181968
SPT(16)	2598321241625270951	0 12 32 60 86 96 182 206 216 240 326 336 362 390 410 422	-680258042856
TPT(14)	2598321508833585989	0 2 18 20 42 44 102 104 198 200 210 212 312 314	-413049727818
STPT(10)	2598321677043292127	0 2 30 32 72 74 114 116 144 146	-244840021680
TPT(14)	2598322233018814571	0 2 78 80 90 92 126 128 150 152 216 218 276 278	311135500764
SPT(16)	2598322582461082811	0 12 20 38 42 60 110 122 126 138 188 206 210 228 236 248	660577769004
SPT(16)	2598322625477165863	0 34 78 90 126 138 174 178 276 280 316 328 364 376 420 454	703593852056
STPT(10)	2598322752884149397	0 2 12 14 42 44 72 74 84 86	831000835590
STPT(10)	2598323050384909847	0 2 24 26 42 44 60 62 84 86	1128501596040