Prime p₀= 2865033164001344837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: [SG]ATA-Rolf
db: batch=82, k=10, 2 52 2 16 2

TPT(14)	2865032229173249621	0 2 36 38 66 68 96 98 120 122 288 290 336 338	-934828095216
STPT(10)	2865032614359434567	0 2 42 44 72 74 102 104 144 146	-549641910270
SPT(16)	2865032678262811873	0 4 34 40 88 124 130 144 244 258 264 300 348 354 384 388	-485738532964
SPT(16)	2865032697350592389	0 18 20 74 80 108 134 140 168 174 200 228 234 288 290 308	-466650752448
STPT(10)	2865032954971631201	0 2 6 8 18 20 30 32 36 38	-209029713636
STPT(10)	2865033146280690569	0 2 30 32 60 62 90 92 120 122	-17720654268
STPT(10)	2865033417484520057	0 2 12 14 42 44 72 74 84 86	253483175220
SPT(16)	2865033554757447737	0 2 20 42 56 72 114 122 174 182 224 240 254 276 294 296	390756102900
SPT(16)	2865034163111771753	0 48 78 84 86 98 146 170 174 198 246 258 260 266 296 344	999110426916
SPT(16)	2865034309509752329	0 48 52 78 108 112 132 148 174 190 210 214 244 270 274 322	1145508407492
SPT(16)	2865034355126870249	0 78 92 108 114 122 134 138 224 228 240 248 254 270 284 362	1191125525412