Prime p₀= 2499456728235647351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: JayPi
db: batch=82, k=10, 2 76 2 28 2

SPT(16)	2499454173863440769	0 24 42 44 132 162 174 198 224 248 260 290 378 380 398 422	-2554372206582
SPT(16)	2499454546465603367	0 14 26 32 42 44 56 60 86 90 102 104 114 120 132 146	-2181770043984
STPT(10)	2499456003411379289	0 2 12 14 90 92 168 170 180 182	-724824268062
SPT(16)	2499456043128581819	0 18 32 44 60 72 162 164 168 170 260 272 288 300 314 332	-685107065532
SPT(16)	2499456232379688941	0 30 36 38 60 72 108 116 132 140 176 188 210 212 218 248	-495855958410
SPT(16)	2499456523166209807	0 12 46 70 72 100 102 106 120 124 126 154 156 180 214 226	-205069437544
SPT(18)	2499456776073775417	0 22 70 84 160 162 180 204 214 240 250 274 292 294 370 384 432 454	47838128066
SPT(16)	2499457150995830023	0 40 108 144 154 166 186 208 216 238 258 270 280 316 384 424	422760182672
STPT(10)	2499457208834333747	0 2 24 26 42 44 60 62 84 86	480598686396
TPT(14)	2499457240547373311	0 2 18 20 36 38 168 170 186 188 228 230 240 242	512311725960
STPT(10)	2499457587803214107	0 2 24 26 42 44 60 62 84 86	859567566756