Prime p₀= 1376861775564121211 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: Theadalus
db: batch=77, k=10, 2 76 2 58 2

SPT(16)	1376860431725361119	0 12 20 38 132 140 150 224 228 302 312 320 414 432 440 452	-1343838760092
SPT(16)	1376860566314864131	0 12 22 28 40 46 106 160 168 222 282 288 300 306 316 328	-1209249257080
TPT(14)	1376860601104159019	0 2 102 104 120 122 162 164 168 170 198 200 258 260	-1174459962192
STPT(10)	1376860702575235487	0 2 30 32 42 44 54 56 84 86	-1072988885724
TPT(14)	1376861434878425987	0 2 54 56 72 74 192 194 324 326 390 392 462 464	-340685695224
SPT(16)	1376861757139511809	0 22 82 84 90 144 160 178 204 222 238 292 298 300 360 382	-18424609402
SPT(16)	1376862088153202317	0 6 10 24 30 34 64 76 144 156 186 190 196 210 214 220	312589081106
STPT(10)	1376862340136028869	0 2 12 14 30 32 48 50 60 62	564571907658
SPT(16)	1376862749940298241	0 12 18 20 60 78 92 126 152 186 200 218 258 260 266 278	974376177030
STPT(10)	1376862869168696477	0 2 12 14 42 44 72 74 84 86	1093604575266
SPT(16)	1376862909653345263	0 58 94 100 114 156 160 216 238 294 298 340 354 360 396 454	1134089224052