Prime p₀= 779015074498771067 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-2W]Kurzer
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	779014043234606363	0 18 48 60 84 86 120 134 240 254 288 290 314 326 356 374	-1031264164704
SPT(16)	779014123048243417	0 30 76 84 100 166 180 220 240 280 294 360 376 384 430 460	-951450527650
STPT(10)	779014424767020227	0 2 30 32 60 62 90 92 120 122	-649731750840
STPT(10)	779014737212519807	0 2 24 26 42 44 60 62 84 86	-337286251260
SPT(16)	779014858754231293	0 10 24 28 54 64 94 106 108 120 150 160 186 190 204 214	-215744539774
SPT(16)	779014927140177487	0 40 42 64 82 102 106 126 160 180 184 204 222 244 246 286	-147358593580
SPT(16)	779015439026229337	0 6 30 36 66 70 102 130 132 160 192 196 226 232 256 262	364527458270
SPT(16)	779015520164713823	0 14 50 80 96 98 110 144 200 234 246 248 264 294 330 344	445665942756
SPT(16)	779015651466715277	0 14 24 26 32 42 66 90 116 140 164 174 180 182 192 206	576967944210
SPT(16)	779015718633913987	0 6 10 36 66 90 114 202 354 442 466 490 520 546 550 556	644135142920
STPT(10)	779016125240936129	0 2 42 44 120 122 198 200 240 242	1050742165062