Prime p₀= 2496737626985871299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2496735796795698217	0 40 84 112 132 154 160 180 196 216 222 244 264 292 336 376	-1830190173082
STPT(10)	2496735832687992191	0 2 6 8 18 20 30 32 36 38	-1794297879108
SPT(16)	2496736025793675893	0 50 54 84 120 128 156 276 308 428 456 464 500 530 534 584	-1601192195406
SPT(16)	2496736431533576747	0 30 50 54 110 114 126 146 204 224 236 240 296 300 320 350	-1195452294552
SPT(16)	2496737375925374047	0 6 42 70 76 102 114 154 162 202 214 240 246 274 310 316	-251060497252
TPT(14)	2496737511761808317	0 2 30 32 144 146 162 164 210 212 294 296 354 356	-115224062982
SPT(16)	2496737844591554183	0 6 20 44 48 60 90 116 228 254 284 296 300 324 338 344	217605682884
STPT(10)	2496738099318638471	0 2 6 8 18 20 30 32 36 38	472332767172
SPT(16)	2496738141708702169	0 10 12 42 102 120 180 208 234 262 322 340 400 430 432 442	514722830870
STPT(10)	2496738265195889987	0 2 24 26 42 44 60 62 84 86	638210018688
SPT(16)	2496738273224569939	0 10 42 54 112 120 160 174 208 222 262 270 328 340 372 382	646238698640