Prime p₀= 2338704800325015149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2338703274364400681	0 2 78 80 150 152 168 170 180 182 246 248 258 260	-1525960614468
STPT(10)	2338703444414066699	0 2 12 14 30 32 48 50 60 62	-1355910948450
STPT(10)	2338703483157349937	0 2 30 32 72 74 114 116 144 146	-1317167665212
STPT(10)	2338704663004343729	0 2 18 20 30 32 42 44 60 62	-137320671420
SPT(16)	2338704694683689599	0 24 70 82 94 100 114 150 154 190 204 210 222 234 280 304	-105641325550
SPT(16)	2338704735794647469	0 62 140 174 210 230 242 252 272 282 294 314 350 384 462 524	-64530367680
STPT(10)	2338705422194377931	0 2 36 38 78 80 120 122 156 158	621869362782
STPT(10)	2338705510874672909	0 2 12 14 90 92 168 170 180 182	710549657760
SPT(16)	2338705649509760281	0 18 66 106 136 142 150 252 256 358 366 372 402 442 490 508	849184745132
SPT(16)	2338705943717943973	0 40 46 60 96 118 120 186 238 304 306 328 364 378 384 424	1143392928824
STPT(10)	2338706035241343749	0 2 42 44 60 62 78 80 120 122	1234916328600