Prime p₀= 2597691885193987577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2597690184964750633	0 10 16 46 58 76 84 108 136 160 168 186 198 228 234 244	-1700229236944
STPT(10)	2597690528350441001	0 2 30 32 78 80 126 128 156 158	-1356843546576
SPT(16)	2597691452328085327	0 36 64 76 90 102 130 142 144 156 184 196 210 222 250 286	-432865902250
SPT(16)	2597691587570980237	0 22 42 52 94 100 106 126 130 150 156 162 204 214 234 256	-297623007340
SPT(16)	2597691701870004461	0 2 18 50 56 68 122 128 150 156 210 222 228 260 276 278	-183323983116
SPT(16)	2597691723389412887	0 14 30 42 44 80 144 146 210 212 276 312 314 326 342 356	-161804574690
STPT(10)	2597692198926316337	0 2 24 26 42 44 60 62 84 86	313732328760
SPT(16)	2597692339444110679	0 30 52 64 78 112 124 138 154 168 180 214 228 240 262 292	454250123102
STPT(10)	2597692358147128181	0 2 30 32 60 62 90 92 120 122	472953140604
TPT(14)	2597692536120825809	0 2 12 14 72 74 78 80 198 200 288 290 318 320	650926838232
TPT(14)	2597692554724078751	0 2 30 32 36 38 168 170 210 212 288 290 330 332	669530091174