Prime p₀= 2573497501234717157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

STPT(10)	2573496443132212649	0 2 18 20 30 32 42 44 60 62	-1058102504508
TPT(14)	2573496510914351261	0 2 30 32 66 68 126 128 198 200 306 308 390 392	-990320365896
SPT(16)	2573496535558125173	0 36 38 84 90 126 168 216 248 296 338 374 380 426 428 464	-965676591984
STPT(10)	2573496696388049777	0 2 42 44 72 74 102 104 144 146	-804846667380
SPT(16)	2573496968508884641	0 46 48 130 132 136 156 160 168 172 192 196 198 280 282 328	-532725832516
STPT(10)	2573497461587825819	0 2 12 14 90 92 168 170 180 182	-39646891338
SPT(16)	2573497617484569161	0 12 26 72 150 152 156 218 270 332 336 338 416 462 476 488	116249852004
STPT(10)	2573497865964547601	0 2 30 32 78 80 126 128 156 158	364729830444
SPT(16)	2573498495169809759	0 12 24 68 74 128 170 194 198 222 264 318 324 368 380 392	993935092602
STPT(10)	2573498647330160609	0 2 12 14 90 92 168 170 180 182	1146095443452
SPT(16)	2573498676900175489	0 10 28 48 100 112 132 180 220 268 288 300 352 372 390 400	1175665458332