Prime p₀= 1157304488551564817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
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: 206
Found by: Megacruncher
db: batch=77, k=10, 2 88 2 10 2

STPT(10)	1157304100718872331	0 2 36 38 78 80 120 122 156 158	-387832692486
TPT(16)	1157304251114398841	0 2 156 158 180 182 240 242 276 278 306 308 318 320 396 398	-237437165976
STPT(10)	1157304293660311397	0 2 12 14 42 44 72 74 84 86	-194891253420
SPT(16)	1157304429201937633	0 78 114 136 148 198 234 268 276 310 346 396 408 430 466 544	-59349627184
SPT(16)	1157304457589969443	0 60 96 124 130 154 186 208 216 238 270 294 300 328 364 424	-30961595374
SPT(16)	1157304481787562289	0 34 48 52 112 130 244 280 282 318 432 450 510 514 528 562	-6764002528
SPT(16)	1157304650380655033	0 54 74 90 98 168 174 200 204 230 236 306 314 330 350 404	161829090216
SPT(16)	1157305253535406999	0 4 24 70 78 108 112 114 148 150 154 184 192 238 258 262	764983842182
STPT(10)	1157305458391935689	0 2 12 14 90 92 168 170 180 182	969840370872
SPT(13)	1157305612312571129	0 78 90 132 150 162 210 258 270 288 330 342 420	1123761006312
SPT(16)	1157305618179719807	0 42 54 152 164 192 222 326 330 434 464 492 504 602 614 656	1129628154990