Prime p₀= 774965234628794777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG]steini
db: batch=73, k=10, 2 10 2 28 2

TPT(14)	774963847199304779	0 2 90 92 102 104 120 122 162 164 210 212 228 230	-1387429489998
SPT(16)	774964166880433379	0 44 48 54 62 80 114 120 182 188 222 240 248 254 258 302	-1067748361398
STPT(10)	774964626260793497	0 2 60 62 72 74 84 86 144 146	-608368001280
SPT(16)	774964796875929839	0 2 12 90 92 128 180 210 230 260 312 348 350 428 438 440	-437752864938
SPT(16)	774964907376115723	0 36 54 126 154 208 288 358 366 436 516 570 598 670 688 724	-327252679054
STPT(10)	774965201766776897	0 2 30 32 60 62 90 92 120 122	-32862017880
SPT(16)	774965764590677687	0 30 56 84 114 144 164 200 240 276 296 326 356 384 410 440	529961882910
SPT(16)	774965873114044061	0 6 42 50 62 66 98 102 146 150 182 186 198 206 242 248	638485249284
STPT(10)	774965954017019519	0 2 18 20 30 32 42 44 60 62	719388224742
STPT(10)	774966034511299637	0 2 30 32 42 44 54 56 84 86	799882504860
SPT(16)	774966040410009419	0 2 24 104 114 122 132 140 222 230 240 248 258 338 360 362	805781214642