Prime p₀= 774979737020156579 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: GLeeM
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	774979274477818367	0 2 60 62 72 74 84 86 144 146	-462542338212
SPT(16)	774979407879757021	0 30 36 40 42 78 102 132 196 226 250 286 288 292 298 328	-329140399558
SPT(16)	774979459866362629	0 40 42 118 124 172 238 300 322 384 450 498 504 580 582 622	-277153793950
STPT(10)	774979545961726247	0 2 30 32 102 104 174 176 204 206	-191058430332
STPT(10)	774979661237934497	0 2 42 44 72 74 102 104 144 146	-75782222082
TPT(14)	774979677938064437	0 2 12 14 54 56 60 62 102 104 192 194 210 212	-59082092142
STPT(10)	774979823439770447	0 2 30 32 72 74 114 116 144 146	86419613868
SPT(16)	774979866757748527	0 22 84 94 124 126 150 184 192 226 250 252 282 292 354 376	129737591948
SPT(16)	774980073772219369	0 28 64 70 88 108 138 168 214 244 274 294 312 318 354 382	336752062790
STPT(10)	774980081831119259	0 2 18 20 30 32 42 44 60 62	344810962680
SPT(16)	774980762256743863	0 46 58 66 120 144 234 238 276 280 370 394 448 456 468 514	1025236587284