Prime p₀= 1786306180824502121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=79, k=10, 2 34 2 40 2

SPT(16)	1786305249415049527	0 6 24 54 114 156 180 222 294 336 360 402 462 492 510 516	-931409452594
TPT(14)	1786305385431502907	0 2 24 26 54 56 72 74 210 212 234 236 312 314	-795392999214
SPT(16)	1786305448329082061	0 20 80 86 132 188 210 212 216 218 240 296 342 348 408 428	-732495420060
STPT(10)	1786305701736450509	0 2 18 20 30 32 42 44 60 62	-479088051612
SPT(16)	1786305754325525861	0 8 68 218 236 260 296 306 350 360 396 420 438 588 648 656	-426498976260
STPT(10)	1786306048162012379	0 2 30 32 60 62 90 92 120 122	-132662489742
TPT(14)	1786306280069305529	0 2 12 14 42 44 108 110 132 134 138 140 162 164	99244803408
TPT(14)	1786306526434474409	0 2 180 182 288 290 360 362 378 380 390 392 420 422	345609972288
SPT(16)	1786306744453599503	0 44 78 90 98 108 150 176 288 314 356 366 374 386 420 464	563629097382
STPT(10)	1786306898279358149	0 2 30 32 60 62 90 92 120 122	717454856028
SPT(16)	1786307413069854251	0 42 48 56 110 128 146 152 156 162 180 198 252 260 266 308	1232245352130