Prime p₀= 2597690528350441001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 46 2

STPT(10)	2597689310146772729	0 2 18 20 30 32 42 44 60 62	-1218203668272
STPT(10)	2597689777823942819	0 2 42 44 90 92 138 140 180 182	-750526498182
STPT(10)	2597689834083564641	0 2 36 38 78 80 120 122 156 158	-694266876360
SPT(16)	2597689899730482107	0 14 20 50 80 126 144 146 204 206 224 270 300 330 336 350	-628619958894
STPT(10)	2597689956224151629	0 2 78 80 120 122 162 164 240 242	-572126289372
SPT(16)	2597690184964750633	0 10 16 46 58 76 84 108 136 160 168 186 198 228 234 244	-343385690368
SPT(16)	2597691452328085327	0 36 64 76 90 102 130 142 144 156 184 196 210 222 250 286	923977644326
SPT(16)	2597691587570980237	0 22 42 52 94 100 106 126 130 150 156 162 204 214 234 256	1059220539236
SPT(16)	2597691701870004461	0 2 18 50 56 68 122 128 150 156 210 222 228 260 276 278	1173519563460
SPT(16)	2597691723389412887	0 14 30 42 44 80 144 146 210 212 276 312 314 326 342 356	1195038971886
STPT(10)	2597691885193987577	0 2 30 32 72 74 114 116 144 146	1356843546576