Prime p₀= 2799145344138516557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2799144690253267963	0 34 40 46 54 76 118 124 210 216 258 280 288 294 300 334	-653885248594
TPT(14)	2799144812575515821	0 2 60 62 96 98 156 158 216 218 240 242 366 368	-531563000736
TPT(14)	2799144812862214979	0 2 30 32 138 140 222 224 528 530 570 572 600 602	-531276301578
SPT(16)	2799144884768462611	0 52 72 118 132 156 160 196 222 258 262 286 300 346 366 418	-459370053946
TPT(14)	2799145213475580887	0 2 84 86 150 152 162 164 282 284 360 362 372 374	-130662935670
SPT(16)	2799145294006179271	0 10 112 118 126 178 196 238 240 282 300 352 360 366 468 478	-50132337286
SPT(16)	2799145417236482123	0 24 84 96 174 194 216 234 260 278 300 320 398 410 470 494	73097965566
SPT(16)	2799145510407964603	0 6 90 96 106 124 168 198 256 286 330 348 358 364 448 454	166269448046
SPT(16)	2799145905583116337	0 24 40 72 76 94 150 154 162 166 222 240 244 276 292 316	561444599780
TPT(14)	2799146304233455439	0 2 168 170 180 182 222 224 240 242 258 260 282 284	960094938882
STPT(10)	2799146659804860119	0 2 18 20 30 32 42 44 60 62	1315666343562