Prime p₀= 2379593322257697989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2379590578150258111	0 28 46 88 106 118 126 148 168 190 198 210 228 270 288 316	-2744107439878
SPT(16)	2379590586415613243	0 14 38 66 78 96 134 170 234 270 308 326 338 366 390 404	-2735842084746
STPT(10)	2379591423489969317	0 2 30 32 72 74 114 116 144 146	-1898767728672
SPT(16)	2379591824067253559	0 12 54 78 114 134 140 144 278 282 288 308 344 368 410 422	-1498190444430
STPT(12)	2379592419729424577	0 2 12 14 30 32 54 56 72 74 84 86	-902528273412
SPT(16)	2379592795457212219	0 10 34 52 54 70 78 114 118 154 162 178 180 198 222 232	-526800485770
STPT(10)	2379593655824858909	0 2 42 44 60 62 78 80 120 122	333567160920
SPT(16)	2379593762824676549	0 8 12 32 78 84 110 114 158 162 188 194 240 260 264 272	440566978560
SPT(16)	2379593923358050991	0 56 146 168 180 186 218 242 246 270 302 308 320 342 432 488	601100353002
SPT(16)	2379594298180024799	0 20 54 60 74 84 102 122 132 152 170 180 194 200 234 254	975922326810
STPT(10)	2379594523770423917	0 2 24 26 42 44 60 62 84 86	1201512725928