Prime p₀= 2590018919981691617 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2590017962164690711	0 42 90 150 190 198 220 232 246 258 280 288 328 388 436 478	-957817000906
SPT(16)	2590018191593868283	0 6 30 34 58 108 120 178 216 274 286 336 360 364 388 394	-728387823334
SPT(18)	2590018520818723613	0 54 66 78 80 104 134 218 264 290 336 420 450 474 476 488 500 554	-399162968004
SPT(16)	2590018664700100927	0 24 54 132 150 166 174 184 252 262 270 286 304 382 412 436	-255281590690
SPT(16)	2590018881012450487	0 34 70 90 106 124 144 264 406 526 546 564 580 600 636 670	-38969241130
STPT(10)	2590018900616457197	0 2 24 26 42 44 60 62 84 86	-19365234420
SPT(16)	2590019130293483311	0 16 30 36 40 82 106 112 126 132 156 198 202 208 222 238	210311791694
SPT(16)	2590019245024971439	0 18 28 42 58 72 114 142 180 208 250 264 280 294 304 322	325043279822
SPT(16)	2590019321406153839	0 14 42 44 60 72 74 90 122 138 140 152 168 170 198 212	401424462222
SPT(16)	2590019744509592749	0 30 60 78 112 120 180 198 214 232 292 300 334 352 382 412	824527901132
STPT(10)	2590019763947962349	0 2 12 14 90 92 168 170 180 182	843966270732