Prime p₀= 2124489713148880067 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2124488191414929677	0 2 30 32 42 44 54 56 84 86	-1521733950390
SPT(16)	2124488585152620331	0 30 42 60 82 102 106 130 162 186 190 210 232 250 262 292	-1127996259736
SPT(20)	2124489059334354059	0 32 44 98 158 162 204 224 228 242 270 284 288 308 350 354 414 468 480 512	-653814526008
STPT(10)	2124489099871679897	0 2 30 32 72 74 114 116 144 146	-613277200170
STPT(10)	2124489463252357049	0 2 30 32 60 62 90 92 120 122	-249896523018
STPT(10)	2124489631569793457	0 2 54 56 72 74 90 92 144 146	-81579086610
SPT(16)	2124489782381571673	0 24 28 40 70 144 154 178 390 414 424 498 528 540 544 568	69232691606
SPT(16)	2124490028032771577	0 6 24 44 66 90 114 120 140 146 170 194 216 236 254 260	314883891510
SPT(16)	2124490126114794161	0 38 42 66 78 110 120 122 306 308 318 350 362 386 390 428	412965914094
SPT(16)	2124490162600616639	0 2 38 44 92 108 168 174 248 254 314 330 378 384 420 422	449451736572
STPT(10)	2124490509353686319	0 2 18 20 30 32 42 44 60 62	796204806252