Prime p₀= 1128432353477054357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: stoneageman
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	1128431634037376657	0 2 24 44 62 150 192 200 216 224 266 354 372 392 414 416	-719439677700
SPT(16)	1128431892777438559	0 22 58 60 72 78 144 160 282 298 364 370 382 384 420 442	-460699615798
SPT(16)	1128432019425642313	0 48 54 78 126 156 166 180 184 198 208 238 286 310 316 364	-334051412044
TPT(14)	1128432021311449949	0 2 42 44 78 80 180 182 288 290 318 320 378 380	-332165604408
STPT(10)	1128432123122713889	0 2 18 20 30 32 42 44 60 62	-230354340468
STPT(10)	1128432314457104981	0 2 36 38 78 80 120 122 156 158	-39019949376
STPT(10)	1128432617492994431	0 2 36 38 78 80 120 122 156 158	264015940074
SPT(16)	1128432832497712517	0 14 32 42 44 86 102 122 144 164 180 222 224 234 252 266	479020658160
SPT(16)	1128432907511777401	0 70 76 78 108 120 162 172 276 286 328 340 370 372 378 448	554034723044
SPT(16)	1128433004813955871	0 28 72 120 130 132 160 258 562 660 688 690 700 748 792 820	651336901514
SPT(16)	1128433151803179791	0 38 60 66 78 90 108 122 186 200 218 230 242 248 270 308	798326125434