Prime p₀= 2667157916669088119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2667157374129425843	0 18 50 56 78 80 98 128 156 186 204 206 228 234 266 284	-542539662276
STPT(10)	2667157716274873427	0 2 12 14 72 74 132 134 144 146	-200394214692
SPT(16)	2667157731650093713	0 10 76 94 96 126 136 166 168 198 208 238 240 258 324 334	-185018994406
SPT(16)	2667157783715820299	0 20 32 42 48 80 102 120 170 188 210 242 248 258 270 290	-132953267820
SPT(16)	2667157831083877277	0 90 104 170 200 212 234 242 324 332 354 366 396 462 476 566	-85585210842
STPT(10)	2667157862722832951	0 2 36 38 108 110 180 182 216 218	-53946255168
STPT(10)	2667158660548648697	0 2 30 32 72 74 114 116 144 146	743879560578
SPT(16)	2667158745126900757	0 10 36 40 42 124 144 154 162 172 192 274 276 280 306 316	828457812638
SPT(16)	2667159112602158833	0 40 88 106 120 138 150 154 180 184 196 214 228 246 294 334	1195933070714
TPT(14)	2667159172558644761	0 2 18 20 90 92 126 128 156 158 186 188 240 242	1255889556642
TPT(14)	2667159207686755931	0 2 48 50 78 80 90 92 120 122 156 158 240 242	1291017667812