Prime p₀= 2499457208834333747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2499456043128581819	0 18 32 44 60 72 162 164 168 170 260 272 288 300 314 332	-1165705751928
SPT(16)	2499456232379688941	0 30 36 38 60 72 108 116 132 140 176 188 210 212 218 248	-976454644806
SPT(16)	2499456523166209807	0 12 46 70 72 100 102 106 120 124 126 154 156 180 214 226	-685668123940
STPT(10)	2499456728235647351	0 2 78 80 108 110 138 140 216 218	-480598686396
SPT(18)	2499456776073775417	0 22 70 84 160 162 180 204 214 240 250 274 292 294 370 384 432 454	-432760558330
SPT(16)	2499457150995830023	0 40 108 144 154 166 186 208 216 238 258 270 280 316 384 424	-57838503724
TPT(14)	2499457240547373311	0 2 18 20 36 38 168 170 186 188 228 230 240 242	31713039564
STPT(10)	2499457587803214107	0 2 24 26 42 44 60 62 84 86	378968880360
SPT(13)	2499457805670975187	0 30 42 114 132 150 162 174 192 210 282 294 324	596836641440
TPT(14)	2499458205902717951	0 2 6 8 36 38 48 50 138 140 258 260 288 290	997068384204
SPT(13)	2499458276912876243	0 6 18 60 66 90 108 126 150 156 198 210 216	1068078542496