Prime p₀= 2597692198926316337 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

STPT(10)	2597690528350441001	0 2 30 32 78 80 126 128 156 158	-1670575875336
SPT(16)	2597691452328085327	0 36 64 76 90 102 130 142 144 156 184 196 210 222 250 286	-746598231010
SPT(16)	2597691587570980237	0 22 42 52 94 100 106 126 130 150 156 162 204 214 234 256	-611355336100
SPT(16)	2597691701870004461	0 2 18 50 56 68 122 128 150 156 210 222 228 260 276 278	-497056311876
SPT(16)	2597691723389412887	0 14 30 42 44 80 144 146 210 212 276 312 314 326 342 356	-475536903450
STPT(10)	2597691885193987577	0 2 30 32 72 74 114 116 144 146	-313732328760
SPT(16)	2597692339444110679	0 30 52 64 78 112 124 138 154 168 180 214 228 240 262 292	140517794342
STPT(10)	2597692358147128181	0 2 30 32 60 62 90 92 120 122	159220811844
TPT(14)	2597692536120825809	0 2 12 14 72 74 78 80 198 200 288 290 318 320	337194509472
TPT(14)	2597692554724078751	0 2 30 32 36 38 168 170 210 212 288 290 330 332	355797762414
SPT(16)	2597692961388256843	0 30 46 88 90 124 150 178 216 244 270 304 306 348 364 394	762461940506