Prime p₀= 2050776600980309099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2050775144972884157	0 2 66 86 102 170 200 240 242 282 312 380 396 416 480 482	-1456007424942
TPT(16)	2050775231296508147	0 2 54 56 60 62 72 74 114 116 354 356 474 476 534 536	-1369683800952
SPT(16)	2050775663273526883	0 16 40 64 94 108 126 136 168 178 196 210 240 264 288 304	-937706782216
STPT(10)	2050776355071249941	0 2 36 38 78 80 120 122 156 158	-245909059158
TPT(14)	2050776362363940899	0 2 18 20 30 32 78 80 210 212 240 242 270 272	-238616368200
STPT(10)	2050776475185285899	0 2 18 20 30 32 42 44 60 62	-125795023200
SPT(16)	2050777002924318089	0 24 44 78 108 120 128 134 144 150 158 170 200 234 254 278	401944008990
SPT(16)	2050777181550901523	0 18 20 26 30 74 80 126 128 174 180 224 228 234 236 254	580570592424
STPT(10)	2050777442955718187	0 2 42 44 72 74 102 104 144 146	841975409088
STPT(10)	2050777465976449421	0 2 30 32 78 80 126 128 156 158	864996140322
SPT(16)	2050777871291737859	0 14 50 60 90 98 104 174 194 264 270 278 308 318 354 368	1270311428760