Prime p₀= 1728713540306140637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: CoolAtchOk
db: batch=79, k=10, 2 10 2 28 2

STPT(10)	1728712733689026257	0 2 12 14 72 74 132 134 144 146	-806617114380
SPT(16)	1728713293106010641	0 26 36 80 86 126 140 150 152 162 176 216 222 266 276 302	-247200129996
TPT(14)	1728713342654514611	0 2 36 38 48 50 108 110 306 308 426 428 456 458	-197651626026
SPT(16)	1728713424285773797	0 6 34 40 42 124 126 190 216 280 282 364 366 372 400 406	-116020366840
TPT(14)	1728713429318136179	0 2 78 80 90 92 120 122 228 230 252 254 270 272	-110988004458
SPT(16)	1728713460928814351	0 26 66 98 120 140 168 176 180 188 216 236 258 290 330 356	-79377326286
SPT(16)	1728713722883415089	0 2 8 24 78 122 138 150 182 194 210 254 308 324 330 332	182577274452
STPT(10)	1728713732003393657	0 2 30 32 42 44 54 56 84 86	191697253020
TPT(14)	1728713850482532839	0 2 30 32 48 50 78 80 90 92 132 134 162 164	310176392202
SPT(16)	1728713933517994499	0 30 32 84 164 174 200 212 252 264 290 300 380 432 434 464	393211853862
TPT(14)	1728714018362121779	0 2 18 20 72 74 102 104 132 134 228 230 240 242	478055981142