Prime p₀= 2356524548715820919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2356522876473867553	0 28 34 46 60 148 166 226 228 288 306 394 408 420 426 454	-1672241953366
SPT(16)	2356523296379931097	0 40 72 84 130 132 196 202 234 240 304 306 352 364 396 436	-1252335889822
SPT(16)	2356523646769031963	0 20 38 60 84 126 236 278 306 348 458 500 524 546 564 584	-901946788956
TPT(14)	2356524108382577687	0 2 12 14 54 56 114 116 204 206 222 224 240 242	-440333243232
SPT(16)	2356524384614479229	0 8 14 62 90 98 108 120 152 164 174 182 210 258 264 272	-164101341690
STPT(10)	2356524524339636471	0 2 6 8 18 20 30 32 36 38	-24376184448
SPT(16)	2356524831259901581	0 88 112 130 160 180 198 222 298 322 340 360 390 408 432 520	282544080662
SPT(16)	2356524978906528461	0 42 78 110 132 162 188 230 240 282 308 338 360 392 428 470	430190707542
SPT(16)	2356525028838055457	0 30 44 84 96 152 156 174 182 200 204 260 272 312 326 356	480122234538
SPT(16)	2356525780294133969	0 24 92 152 180 224 254 264 278 288 318 362 390 450 518 542	1231578313050
SPT(16)	2356525845437370283	0 18 40 88 94 130 210 250 264 304 384 420 426 474 496 514	1296721549364