Prime p₀= 2451598653569000237 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)	2451597879949770947	0 6 26 50 80 92 110 120 152 162 180 192 222 246 266 272	-773619229290
SPT(18)	2451597952052550703	0 24 78 100 114 124 136 166 190 294 318 348 360 370 384 406 460 484	-701516449534
SPT(16)	2451598060199084801	0 30 32 96 102 132 146 176 222 252 266 296 302 366 368 398	-593369915436
TPT(14)	2451598101943970591	0 2 66 68 78 80 108 110 126 128 150 152 216 218	-551625029646
SPT(16)	2451598104384798511	0 6 10 22 36 48 58 76 102 120 130 142 156 168 172 178	-549184201726
SPT(16)	2451598138998131329	0 10 34 52 72 82 84 114 118 148 150 160 180 198 222 232	-514570868908
STPT(10)	2451598677067844597	0 2 42 44 72 74 102 104 144 146	23498844360
SPT(16)	2451598711750645159	0 10 24 40 42 70 82 114 190 222 234 262 264 280 294 304	58181644922
SPT(16)	2451598831229358539	0 68 78 144 170 182 200 204 218 222 240 252 278 344 354 422	177660358302
SPT(16)	2451599072731352801	0 32 36 50 138 140 168 176 192 200 228 230 318 332 336 368	419162352564
SPT(16)	2451599496249304519	0 4 30 34 42 144 154 172 240 258 268 370 378 382 408 412	842680304282