Prime p₀= 997796222127942857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	997794835665766711	0 6 48 70 72 112 136 156 172 192 216 256 258 280 322 328	-1386462176146
STPT(10)	997794928217096489	0 2 18 20 30 32 42 44 60 62	-1293910846368
TPT(14)	997795084355848061	0 2 90 92 96 98 126 128 180 182 246 248 258 260	-1137772094796
SPT(16)	997795114782240451	0 10 18 48 102 118 132 166 222 256 270 286 340 370 378 388	-1107345702406
STPT(10)	997795684354922639	0 2 18 20 30 32 42 44 60 62	-537773020218
STPT(10)	997795987762344467	0 2 54 56 72 74 90 92 144 146	-234365598390
SPT(16)	997796279624676131	0 18 42 62 80 108 132 140 150 158 182 210 228 248 272 290	57496733274
SPT(16)	997796353332901141	0 6 12 52 66 82 90 136 162 208 216 232 246 286 292 298	131204958284
SPT(16)	997796760574728271	0 16 40 58 66 132 136 178 180 222 226 292 300 318 342 358	538446785414
STPT(10)	997796923305368729	0 2 48 50 90 92 132 134 180 182	701177425872
STPT(10)	997797023249202269	0 2 18 20 30 32 42 44 60 62	801121259412