Prime p₀= 2551034744567891441 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: JayPi
db: batch=82, k=10, 2 64 2 70 2

SPT(16)	2551033464032134303	0 10 28 34 84 94 148 180 244 276 330 340 390 396 414 424	-1280535757138
SPT(16)	2551033641566569343	0 38 44 48 90 116 126 156 158 188 198 224 266 270 276 314	-1103001322098
SPT(16)	2551033745758136531	0 18 90 102 110 116 168 170 228 230 282 288 296 308 380 398	-998809754910
STPT(12)	2551033787728860617	0 2 42 44 54 56 150 152 162 164 204 206	-956839030824
SPT(16)	2551034341941731167	0 36 106 114 120 124 126 174 196 244 246 250 256 264 334 370	-402626160274
STPT(10)	2551034437735901417	0 2 24 26 42 44 60 62 84 86	-306831990024
SPT(16)	2551035143897639741	0 60 90 158 198 266 300 320 426 446 480 548 588 656 686 746	399329748300
SPT(16)	2551035767137099043	0 18 50 84 98 126 128 266 288 426 428 456 470 504 536 554	1022569207602
STPT(12)	2551036003349983517	0 2 60 62 84 86 240 242 264 266 324 326	1258782092076
STPT(10)	2551036090079408819	0 2 18 20 30 32 42 44 60 62	1345511517378
STPT(10)	2551036245446296511	0 2 36 38 78 80 120 122 156 158	1500878405070