Prime p₀= 2152579913708236709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: ginga
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2152578450136275737	0 56 86 104 140 176 182 206 300 324 330 366 402 420 450 506	-1463571960972
STPT(10)	2152578957509372177	0 2 30 32 120 122 210 212 240 242	-956198864532
SPT(16)	2152579037586508199	0 12 30 102 128 168 258 270 350 362 452 492 518 590 608 620	-876121728510
SPT(16)	2152579091386323667	0 22 42 126 174 196 204 214 312 322 330 352 400 484 504 526	-822321913042
SPT(16)	2152579647537038099	0 42 72 78 84 144 150 158 174 182 188 248 254 260 290 332	-266171198610
TPT(14)	2152579799467022621	0 2 36 38 48 50 66 68 78 80 120 122 150 152	-114241214088
TPT(14)	2152580045360828537	0 2 24 26 42 44 60 62 180 182 192 194 264 266	131652591828
TPT(14)	2152580178081681767	0 2 12 14 24 26 72 74 102 104 144 146 150 152	264373445058
TPT(14)	2152580421963941741	0 2 90 92 168 170 186 188 210 212 228 230 300 302	508255705032
TPT(14)	2152580450294478689	0 2 78 80 132 134 240 242 288 290 372 374 408 410	536586241980
STPT(10)	2152580712517577777	0 2 30 32 42 44 54 56 84 86	798809341068