Prime p₀= 1157305458391935689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Megacruncher
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1157304429201937633	0 78 114 136 148 198 234 268 276 310 346 396 408 430 466 544	-1029189998056
SPT(16)	1157304457589969443	0 60 96 124 130 154 186 208 216 238 270 294 300 328 364 424	-1000801966246
SPT(16)	1157304481787562289	0 34 48 52 112 130 244 280 282 318 432 450 510 514 528 562	-976604373400
STPT(10)	1157304488551564817	0 2 90 92 102 104 114 116 204 206	-969840370872
SPT(16)	1157304650380655033	0 54 74 90 98 168 174 200 204 230 236 306 314 330 350 404	-808011280656
SPT(16)	1157305253535406999	0 4 24 70 78 108 112 114 148 150 154 184 192 238 258 262	-204856528690
SPT(13)	1157305612312571129	0 78 90 132 150 162 210 258 270 288 330 342 420	153920635440
SPT(16)	1157305618179719807	0 42 54 152 164 192 222 326 330 434 464 492 504 602 614 656	159787784118
STPT(10)	1157305626994852631	0 2 6 8 18 20 30 32 36 38	168602916942
STPT(10)	1157305979057677637	0 2 24 26 42 44 60 62 84 86	520665741948
SPT(16)	1157306242069809943	0 16 48 60 70 94 138 184 210 256 300 324 334 346 378 394	783677874254