Prime p₀= 2303178257167432607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: vinn@[CNT]
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2303175808034876459	0 18 42 54 60 72 98 110 132 144 170 182 188 200 224 242	-2449132556148
SPT(16)	2303176157501072519	0 24 30 110 128 138 158 164 198 204 224 234 252 332 338 362	-2099666360088
STPT(10)	2303176453931291969	0 2 30 32 60 62 90 92 120 122	-1803236140638
SPT(16)	2303176541358759683	0 14 66 126 156 168 170 180 224 234 236 248 278 338 390 404	-1715808672924
SPT(16)	2303176957191561883	0 18 24 54 60 70 76 94 120 138 144 154 160 190 196 214	-1299975870724
SPT(16)	2303177243111092709	0 18 20 32 54 62 98 104 168 174 210 218 240 252 254 272	-1014056339898
SPT(16)	2303178600571532951	0 36 56 66 80 158 168 176 192 200 210 288 302 312 332 368	343404100344
SPT(16)	2303178714809875579	0 28 34 42 70 108 120 178 204 262 274 312 340 348 354 382	457642442972
SPT(16)	2303178872993906099	0 38 54 62 80 110 122 168 194 240 252 282 300 308 324 362	615826473492
STPT(10)	2303178967550805077	0 2 30 32 42 44 54 56 84 86	710383372470
STPT(10)	2303179098776987441	0 2 6 8 48 50 90 92 96 98	841609554834