Prime p₀= 2099018715896022797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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=80, k=10, 2 28 2 28 2

STPT(10)	2099017747233735857	0 2 42 44 72 74 102 104 144 146	-968662286940
STPT(10)	2099017935197955509	0 2 48 50 90 92 132 134 180 182	-780698067288
STPT(10)	2099018083816433411	0 2 30 32 78 80 126 128 156 158	-632079589386
TPT(14)	2099018156492494967	0 2 42 44 90 92 144 146 162 164 270 272 312 314	-559403527830
SPT(16)	2099018505764625451	0 66 90 100 132 142 166 196 222 252 276 286 318 328 352 418	-210131397346
SPT(16)	2099018649148476131	0 6 20 96 116 140 180 182 240 242 282 306 326 402 416 422	-66747546666
STPT(10)	2099019043425877169	0 2 18 20 60 62 102 104 120 122	327529854372
STPT(10)	2099019066495728087	0 2 42 44 72 74 102 104 144 146	350599705290
STPT(10)	2099019140890021277	0 2 12 14 72 74 132 134 144 146	424993998480
STPT(10)	2099019525939902021	0 2 30 32 78 80 126 128 156 158	810043879224
TPT(14)	2099019687060203819	0 2 30 32 60 62 90 92 198 200 228 230 240 242	971164181022