Prime p₀= 2327331388905273587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Orange Kid
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2327330084833777297	0 22 30 42 72 96 102 112 114 124 130 154 184 196 204 226	-1304071496290
TPT(14)	2327330215642770851	0 2 36 38 78 80 120 122 258 260 300 302 396 398	-1173262502736
SPT(16)	2327330376483660001	0 18 28 88 102 126 142 256 402 516 532 556 570 630 640 658	-1012421613586
STPT(10)	2327330481496841657	0 2 42 44 72 74 102 104 144 146	-907408431930
TPT(14)	2327331189155504219	0 2 18 20 30 32 78 80 132 134 228 230 282 284	-199749769368
SPT(16)	2327331215747161081	0 6 12 52 106 120 142 148 210 216 238 252 306 346 352 358	-173158112506
SPT(16)	2327331445735785143	0 50 56 98 134 140 186 194 210 218 264 270 306 348 354 404	56830511556
SPT(16)	2327331621376022473	0 18 46 60 64 84 114 130 174 190 220 240 244 258 286 304	232470748886
STPT(10)	2327331661697521571	0 2 96 98 138 140 180 182 276 278	272792247984
STPT(10)	2327331738484492667	0 2 54 56 72 74 90 92 144 146	349579219080
STPT(10)	2327331989833289609	0 2 42 44 60 62 78 80 120 122	600928016022