Prime p₀= 2299234819671833567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JonS
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2299232693075159717	0 2 12 14 30 32 54 56 192 194 252 254 264 266	-2126596673850
STPT(10)	2299232704407442649	0 2 18 20 30 32 42 44 60 62	-2115264390918
SPT(16)	2299232785108674839	0 2 20 30 42 54 102 168 284 350 398 410 422 432 450 452	-2034563158728
SPT(16)	2299232816701334201	0 18 20 32 86 162 186 210 218 242 266 342 396 408 410 428	-2002970499366
SPT(16)	2299233396234254197	0 4 16 42 54 60 76 100 156 180 196 202 214 240 252 256	-1423437579370
TPT(14)	2299233958474824557	0 2 30 32 60 62 90 92 132 134 222 224 270 272	-861197009010
SPT(16)	2299234926389576753	0 44 54 96 120 158 174 230 294 350 366 404 428 470 480 524	106717743186
STPT(10)	2299234977158292989	0 2 48 50 90 92 132 134 180 182	157486459422
TPT(14)	2299235130228985841	0 2 6 8 48 50 96 98 126 128 138 140 228 230	310557152274
SPT(16)	2299235144313957149	0 2 14 32 72 80 102 104 150 152 174 182 222 240 252 254	324642123582
STPT(10)	2299235378858609507	0 2 30 32 42 44 54 56 84 86	559186775940