Prime p₀= 1123335763667217941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: stoneageman
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1123335347814037829	0 42 44 122 150 162 174 182 240 248 260 272 300 378 380 422	-415853180112
STPT(10)	1123335433894964921	0 2 36 38 78 80 120 122 156 158	-329772253020
STPT(10)	1123335603573672077	0 2 30 32 42 44 54 56 84 86	-160093545864
STPT(10)	1123335693017973101	0 2 6 8 18 20 30 32 36 38	-70649244840
SPT(16)	1123335722000832019	0 52 64 72 108 120 124 144 148 168 172 184 220 228 240 292	-41666385922
SPT(16)	1123335732826767209	0 32 54 68 98 102 120 140 162 182 200 204 234 248 270 302	-30840450732
STPT(10)	1123335794273555711	0 2 36 38 78 80 120 122 156 158	30606337770
STPT(12)	1123336248162739487	0 2 42 44 90 92 114 116 162 164 204 206	484495521546
STPT(10)	1123336429936645667	0 2 12 14 42 44 72 74 84 86	666269427726
SPT(16)	1123336789336366043	0 26 60 66 138 158 180 200 216 236 258 278 350 356 390 416	1025669148102
SPT(16)	1123337109189623957	0 32 62 72 80 102 150 234 290 374 422 444 452 462 492 524	1345522406016