Prime p₀= 2333238811729746551 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: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2333237558211862889	0 30 48 54 110 132 152 210 242 300 320 342 398 404 422 452	-1253517883662
SPT(16)	2333237728501088441	0 6 30 42 86 90 96 102 140 146 152 156 200 212 236 242	-1083228658110
SPT(16)	2333237983024649599	0 40 52 54 82 84 112 142 162 192 220 222 250 252 264 304	-828705096952
STPT(10)	2333238032463538787	0 2 30 32 72 74 114 116 144 146	-779266207764
STPT(10)	2333238063862851557	0 2 24 26 42 44 60 62 84 86	-747866894994
SPT(16)	2333238797776293613	0 6 10 16 30 76 78 126 148 196 198 244 258 264 268 274	-13953452938
SPT(16)	2333239032936184189	0 48 64 78 84 88 90 148 174 232 234 238 244 258 274 322	221206437638
SPT(16)	2333239119094319477	0 2 60 72 90 104 122 140 174 192 210 224 242 254 312 314	307364572926
STPT(10)	2333239125169927937	0 2 42 44 132 134 222 224 264 266	313440181386
SPT(18)	2333239220053464881	0 36 42 56 96 110 120 126 138 140 152 158 168 182 222 236 242 278	408323718330
SPT(16)	2333239376327416439	0 12 50 54 60 78 164 180 182 198 284 302 308 312 350 362	564597669888