Prime p₀= 2424241777494013427 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2424240488753613709	0 48 54 58 84 112 114 132 190 208 210 238 264 268 274 322	-1288740399718
SPT(16)	2424240490057760161	0 72 106 112 156 162 190 196 216 222 250 256 300 306 340 412	-1287436253266
STPT(10)	2424240619487860037	0 2 12 14 72 74 132 134 144 146	-1158006153390
SPT(16)	2424240962197580413	0 4 6 34 40 96 166 196 228 258 328 384 390 418 420 424	-815296433014
STPT(10)	2424241600050791627	0 2 30 32 42 44 54 56 84 86	-177443221800
STPT(10)	2424241614291471587	0 2 30 32 42 44 54 56 84 86	-163202541840
STPT(10)	2424242005040413841	0 2 6 8 48 50 90 92 96 98	227546400414
SPT(16)	2424242097187287859	0 10 60 70 72 82 88 94 228 234 240 250 252 262 312 322	319693274432
STPT(10)	2424242396039311847	0 2 24 26 42 44 60 62 84 86	618545298420
TPT(14)	2424242538577359581	0 2 30 32 156 158 168 170 180 182 240 242 300 302	761083346154
STPT(10)	2424242688122201069	0 2 12 14 30 32 48 50 60 62	910628187642