Prime p₀= 2378186505203056019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 40 2 46 2

SPT(16)	2378185361426154983	0 50 86 96 126 128 140 164 180 204 216 218 248 258 294 344	-1143776901036
SPT(16)	2378185448341162133	0 18 20 48 66 120 150 156 218 224 254 308 326 354 356 374	-1056861893886
STPT(12)	2378185627943675687	0 2 12 14 42 44 102 104 132 134 144 146	-877259380332
STPT(10)	2378185655451657767	0 2 42 44 72 74 102 104 144 146	-849751398252
STPT(10)	2378185950115621727	0 2 42 44 72 74 102 104 144 146	-555087434292
STPT(10)	2378185952816192927	0 2 72 74 102 104 132 134 204 206	-552386863092
TPT(14)	2378187368731994471	0 2 36 38 150 152 306 308 408 410 420 422 498 500	863528938452
STPT(10)	2378187635678373731	0 2 36 38 78 80 120 122 156 158	1130475317712
STPT(12)	2378188034359254527	0 2 12 14 42 44 102 104 132 134 144 146	1529156198508
SPT(16)	2378188075410596599	0 52 90 118 132 148 168 174 238 244 264 280 294 322 360 412	1570207540580
SPT(16)	2378188138701184357	0 10 42 64 70 84 94 126 130 162 172 186 192 214 246 256	1633498128338