Prime p₀= 2386304558038369541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: MechWarrior
db: batch=81, k=10, 2 124 2 10 2

SPT(16)	2386303510629451123	0 16 18 64 120 190 250 256 348 354 414 484 540 586 588 604	-1047408918418
SPT(16)	2386303831225067617	0 12 30 54 76 94 106 132 184 210 222 240 262 286 304 316	-726813301924
SPT(16)	2386303948110584167	0 4 22 30 40 54 72 84 100 112 130 144 154 162 180 184	-609927785374
SPT(16)	2386303956380912509	0 18 28 42 54 102 132 144 148 160 190 238 250 264 274 292	-601657457032
SPT(16)	2386304031389915617	0 10 66 100 120 126 144 162 214 232 250 256 276 310 366 376	-526648453924
SPT(16)	2386304430490715699	0 54 98 104 108 110 150 198 224 272 312 314 318 324 368 422	-127547653842
SPT(16)	2386305367673368387	0 4 30 64 70 100 120 154 156 190 210 240 246 280 306 310	809634998846
STPT(10)	2386305772625424071	0 2 36 38 78 80 120 122 156 158	1214587054530
STPT(10)	2386305870580197689	0 2 12 14 30 32 48 50 60 62	1312541828148
SPT(16)	2386306006930929481	0 58 60 82 88 118 166 210 298 342 390 420 426 448 450 508	1448892559940
SPT(16)	2386306143326792129	0 14 32 50 60 72 102 114 188 200 230 242 252 270 288 302	1585288422588