Prime p₀= 2590018900616457197 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

STPT(10)	2590017898604656547	0 2 24 26 42 44 60 62 84 86	-1002011800650
SPT(16)	2590017962164690711	0 42 90 150 190 198 220 232 246 258 280 288 328 388 436 478	-938451766486
SPT(16)	2590018191593868283	0 6 30 34 58 108 120 178 216 274 286 336 360 364 388 394	-709022588914
SPT(18)	2590018520818723613	0 54 66 78 80 104 134 218 264 290 336 420 450 474 476 488 500 554	-379797733584
SPT(16)	2590018664700100927	0 24 54 132 150 166 174 184 252 262 270 286 304 382 412 436	-235916356270
SPT(16)	2590018881012450487	0 34 70 90 106 124 144 264 406 526 546 564 580 600 636 670	-19604006710
STPT(10)	2590018919981691617	0 2 12 14 42 44 72 74 84 86	19365234420
SPT(16)	2590019130293483311	0 16 30 36 40 82 106 112 126 132 156 198 202 208 222 238	229677026114
SPT(16)	2590019245024971439	0 18 28 42 58 72 114 142 180 208 250 264 280 294 304 322	344408514242
SPT(16)	2590019321406153839	0 14 42 44 60 72 74 90 122 138 140 152 168 170 198 212	420789696642
SPT(16)	2590019744509592749	0 30 60 78 112 120 180 198 214 232 292 300 334 352 382 412	843893135552