Prime p₀= 1295659971733828577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1295658201710591179	0 42 52 70 90 94 112 114 220 222 240 244 264 282 292 334	-1770023237398
SPT(16)	1295658477668545621	0 10 16 46 100 168 178 198 268 288 298 366 420 450 456 466	-1494065282956
STPT(10)	1295658967784199839	0 2 18 20 30 32 42 44 60 62	-1003949628738
STPT(10)	1295659211070068111	0 2 36 38 78 80 120 122 156 158	-760663760466
STPT(10)	1295659514631273401	0 2 30 32 78 80 126 128 156 158	-457102555176
SPT(16)	1295659789830161207	0 14 30 36 56 84 162 174 182 194 272 300 320 326 342 356	-181903667370
STPT(10)	1295660008863696491	0 2 36 38 78 80 120 122 156 158	37129867914
STPT(10)	1295660144979646907	0 2 24 26 42 44 60 62 84 86	173245818330
TPT(14)	1295660547415458311	0 2 36 38 48 50 90 92 246 248 306 308 360 362	575681629734
SPT(16)	1295660559002330779	0 30 58 60 70 90 124 130 168 174 208 228 238 240 268 298	587268502202
STPT(10)	1295660643856746521	0 2 6 8 48 50 90 92 96 98	672122917944