Prime p₀= 2726559773636866589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Roadranner
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2726559188807668189	0 148 150 210 222 240 282 292 348 358 400 418 430 490 492 640	-584829198400
SPT(16)	2726559250560010387	0 12 30 36 70 90 130 142 144 156 196 216 250 256 274 286	-523076856202
TPT(14)	2726559301255069199	0 2 132 134 192 194 210 212 528 530 570 572 600 602	-472381797390
STPT(10)	2726559415033698857	0 2 30 32 42 44 54 56 84 86	-358603167732
SPT(16)	2726559663258453349	0 52 54 84 90 94 130 162 220 252 288 292 298 328 330 382	-110378413240
SPT(16)	2726559675773636933	0 6 74 80 98 114 128 146 318 336 350 366 384 390 458 464	-97863229656
STPT(10)	2726560025866385237	0 2 60 62 72 74 84 86 144 146	252229518648
TPT(14)	2726560418194103759	0 2 78 80 90 92 132 134 162 164 210 212 228 230	644557237170
SPT(16)	2726560506819672101	0 8 20 62 98 120 138 152 216 230 248 270 306 348 360 368	733182805512
TPT(14)	2726560597473210761	0 2 90 92 126 128 198 200 366 368 390 392 396 398	823836344172
SPT(16)	2726560613407385437	0 4 40 60 106 112 130 132 154 156 174 180 226 246 282 286	839770518848