Prime p₀= 3717648286954750397 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: [AF] Kalianthys
db: batch=84, k=10, 2 10 2 28 2

SPT(16)	3717647427941774389	0 52 60 90 102 270 280 282 298 300 310 478 490 520 528 580	-859012976008
STPT(10)	3717647450568777281	0 2 6 8 48 50 90 92 96 98	-836385973116
STPT(12)	3717647662360873079	0 2 18 20 42 44 168 170 192 194 210 212	-624593877318
SPT(16)	3717647745336875989	0 34 60 112 130 132 148 160 162 174 190 192 210 262 288 322	-541617874408
SPT(16)	3717647840267258111	0 18 32 78 90 92 126 132 146 152 186 188 200 246 260 278	-446687492286
TPT(14)	3717648041800908557	0 2 12 14 102 104 240 242 324 326 390 392 420 422	-245153841840
STPT(10)	3717648383389490729	0 2 48 50 90 92 132 134 180 182	96434740332
SPT(16)	3717648644962544893	0 34 54 94 154 156 160 196 198 234 238 240 300 340 360 394	358007794496
SPT(16)	3717648905947881199	0 54 84 162 180 232 234 250 252 268 270 322 340 418 448 502	618993130802
STPT(10)	3717649244582635247	0 2 12 14 42 44 72 74 84 86	957627884850
SPT(16)	3717649256108293003	0 16 28 46 88 114 150 198 226 274 310 336 378 396 408 424	969153542606