Prime p₀= 2764320227399816087 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: Roadranner
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2764319655566500937	0 6 36 42 80 96 110 126 146 162 176 192 230 236 266 272	-571833315150
STPT(10)	2764319867457228317	0 2 30 32 42 44 54 56 84 86	-359942587770
SPT(16)	2764319942298508813	0 4 16 18 46 76 94 108 136 150 168 198 226 228 240 244	-285101307274
SPT(16)	2764319953260191213	0 18 24 86 98 128 140 144 170 174 186 216 228 290 296 314	-274139624874
SPT(16)	2764319958252110857	0 16 22 30 34 40 76 82 114 120 156 162 166 174 180 196	-269147705230
SPT(16)	2764320117823508677	0 12 24 30 34 52 70 76 90 96 114 132 136 142 154 166	-109576307410
STPT(10)	2764320990061670057	0 2 42 44 72 74 102 104 144 146	762661853970
STPT(10)	2764321406893388891	0 2 6 8 48 50 90 92 96 98	1179493572804
SPT(16)	2764321425688251809	0 20 42 78 98 132 168 182 210 224 260 294 314 350 372 392	1198288435722
TPT(14)	2764321501795377527	0 2 24 26 120 122 174 176 234 236 342 344 462 464	1274395561440
SPT(16)	2764322857548740281	0 10 48 76 120 150 156 160 276 280 286 316 360 388 426 436	2630148924194