Prime p₀= 1831366846423615607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Paul
db: batch=79, k=10, 2 10 2 28 2

STPT(12)	1831366013497275179	0 2 12 14 72 74 78 80 138 140 150 152	-832926340428
SPT(16)	1831366059802980187	0 90 126 130 180 190 210 246 256 292 312 322 372 376 412 502	-786620635420
STPT(10)	1831366310322931727	0 2 42 44 72 74 102 104 144 146	-536100683880
SPT(16)	1831366403078742913	0 6 10 48 66 76 108 118 138 148 180 190 208 246 250 256	-443344872694
SPT(16)	1831366712038689299	0 14 18 38 42 62 90 102 290 302 330 350 354 374 378 392	-134384926308
SPT(16)	1831366799040063281	0 2 20 42 66 126 132 146 156 170 176 236 260 282 300 302	-47383552326
SPT(16)	1831367068507661917	0 12 40 70 82 102 124 154 162 192 214 234 246 276 304 316	222084046310
SPT(16)	1831367190324566381	0 6 56 62 68 86 110 138 170 198 222 240 246 252 302 308	343900950774
SPT(16)	1831367222832758371	0 12 28 52 60 70 82 148 150 216 228 238 246 270 286 298	376409142764
SPT(16)	1831367484084901877	0 2 72 126 156 206 242 252 314 324 360 410 440 494 564 566	637661286270
TPT(14)	1831367636098894499	0 2 12 14 72 74 90 92 102 104 168 170 180 182	789675278892