Prime p₀= 2506380792774678641 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Ben
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2506379384376818917	0 36 46 82 102 114 120 186 250 316 322 334 354 390 400 436	-1408397859724
SPT(16)	2506379459762368409	0 8 20 60 102 104 108 140 192 224 228 230 272 312 324 332	-1333012310232
SPT(16)	2506379923100646793	0 6 16 84 88 90 96 100 144 148 154 156 160 228 238 244	-869674031848
SPT(16)	2506380245460928691	0 8 32 92 110 152 158 228 320 390 396 438 456 516 540 548	-547313749950
SPT(16)	2506380508958421269	0 12 18 32 42 54 108 144 278 314 368 380 390 404 410 422	-283816257372
TPT(14)	2506380660532794467	0 2 30 32 42 44 90 92 120 122 132 134 210 212	-132241884174
SPT(16)	2506381225191181193	0 6 30 36 38 84 104 114 140 150 170 216 218 224 248 254	432416502552
STPT(10)	2506381347276351287	0 2 12 14 42 44 72 74 84 86	554501672646
TPT(14)	2506381747852529639	0 2 30 32 78 80 120 122 180 182 198 200 210 212	955077850998
SPT(16)	2506381998331411283	0 14 20 30 54 110 114 128 366 380 384 440 464 474 480 494	1205556732642
STPT(10)	2506382389402938647	0 2 12 14 42 44 72 74 84 86	1596628260006