Prime p₀= 2451032983892537657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2451032234102983649	0 2 18 20 30 32 42 44 60 62	-749789554008
TPT(14)	2451032370420132179	0 2 30 32 48 50 72 74 102 104 168 170 282 284	-613472405478
SPT(16)	2451032432029439449	0 10 58 64 70 88 114 120 178 184 210 228 234 240 288 298	-551863098208
SPT(16)	2451032579911429307	0 2 24 44 62 92 110 120 224 234 252 282 300 320 342 344	-403981108350
SPT(16)	2451032612582563187	0 6 24 26 80 90 104 120 140 156 170 180 234 236 254 260	-371309974470
TPT(14)	2451032878854580259	0 2 42 44 72 74 108 110 120 122 180 182 192 194	-105037957398
SPT(16)	2451033477932034959	0 42 54 68 74 80 90 110 132 152 162 168 174 188 200 242	494039497302
STPT(10)	2451033504734919491	0 2 30 32 78 80 126 128 156 158	520842381834
TPT(14)	2451033523754492177	0 2 12 14 132 134 180 182 282 284 480 482 492 494	539861954520
SPT(16)	2451033710034264209	0 32 54 60 108 144 150 210 362 422 428 464 512 518 540 572	726141726552
STPT(10)	2451033803873498057	0 2 30 32 42 44 54 56 84 86	819980960400