Prime p₀= 2303178967550805077 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: herby44
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2303176957191561883	0 18 24 54 60 70 76 94 120 138 144 154 160 190 196 214	-2010359243194
SPT(16)	2303177243111092709	0 18 20 32 54 62 98 104 168 174 210 218 240 252 254 272	-1724439712368
STPT(10)	2303178257167432607	0 2 30 32 42 44 54 56 84 86	-710383372470
SPT(16)	2303178600571532951	0 36 56 66 80 158 168 176 192 200 210 288 302 312 332 368	-366979272126
SPT(16)	2303178714809875579	0 28 34 42 70 108 120 178 204 262 274 312 340 348 354 382	-252740929498
SPT(16)	2303178872993906099	0 38 54 62 80 110 122 168 194 240 252 282 300 308 324 362	-94556898978
STPT(10)	2303179098776987441	0 2 6 8 48 50 90 92 96 98	131226182364
SPT(16)	2303179353609198781	0 22 70 90 100 132 142 210 322 390 400 432 442 462 510 532	386058393704
SPT(16)	2303179853889360893	0 14 18 30 108 116 140 144 170 174 198 206 284 296 300 314	886338555816
SPT(16)	2303180255542207597	0 22 24 70 114 184 210 240 274 304 330 400 444 490 492 514	1287991402520
SPT(16)	2303180706500579221	0 28 60 70 72 82 112 120 148 156 186 196 198 208 240 268	1738949774144