Prime p₀= 2991037428265987949 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: Coleslaw
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2991035792028768013	0 10 24 70 76 78 88 90 124 126 136 138 144 190 204 214	-1636237219936
SPT(16)	2991036268457846867	0 84 90 186 194 212 216 242 264 290 294 312 320 416 422 506	-1159808141082
TPT(14)	2991036363228421631	0 2 48 50 60 62 90 92 168 170 198 200 210 212	-1065037566318
STPT(12)	2991036363228421679	0 2 12 14 42 44 120 122 150 152 162 164	-1065037566270
TPT(14)	2991036702051651497	0 2 24 26 60 62 72 74 114 116 192 194 312 314	-726214336452
SPT(16)	2991036729362206531	0 10 12 28 48 52 90 100 108 118 156 160 180 196 198 208	-698903781418
STPT(10)	2991037692105574289	0 2 12 14 90 92 168 170 180 182	263839586340
STPT(10)	2991037782225890987	0 2 42 44 72 74 102 104 144 146	353959903038
SPT(16)	2991037956103196563	0 4 36 40 70 76 88 120 124 156 168 174 204 208 240 244	527837208614
SPT(16)	2991038081170096091	0 36 56 92 110 180 228 290 348 410 458 528 546 582 602 638	652904108142
SPT(13)	2991038148760910461	0 6 72 90 162 192 246 300 330 402 420 486 492	720494922512