Prime p₀= 2327380027959135827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2327378036124064057	0 16 46 60 70 84 102 112 114 124 142 156 166 180 210 226	-1991835071770
TPT(14)	2327378046152465981	0 2 36 38 48 50 288 290 336 338 426 428 486 488	-1981806669846
SPT(16)	2327378502094348799	0 24 48 50 92 104 120 224 228 332 348 360 402 404 428 452	-1525864787028
SPT(16)	2327378697140635937	0 12 44 50 116 152 170 182 264 276 294 330 396 402 434 446	-1330818499890
SPT(16)	2327379221171247031	0 42 60 112 126 148 172 208 210 246 270 292 306 358 376 418	-806787888796
STPT(10)	2327379421464642299	0 2 18 20 30 32 42 44 60 62	-606494493528
SPT(16)	2327380051018114903	0 4 46 70 96 108 130 174 340 384 406 418 444 468 510 514	23058979076
STPT(10)	2327380349829983429	0 2 18 20 60 62 102 104 120 122	321870847602
SPT(16)	2327380512156147197	0 60 66 114 210 260 410 414 452 456 606 656 752 800 806 866	484197011370
TPT(14)	2327380625638238237	0 2 12 14 42 44 72 74 90 92 144 146 174 176	597679102410
SPT(16)	2327380713310488679	0 48 72 88 114 130 142 160 252 270 282 298 324 340 364 412	685351352852