Prime p₀= 2121716833408518551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Time_Traveler
db: batch=80, k=10, 2 4 2 10 2

TPT(14)	2121715713647902079	0 2 30 32 78 80 120 122 138 140 168 170 180 182	-1119760616472
SPT(16)	2121716060513922989	0 8 120 134 138 152 158 180 182 204 210 224 228 242 354 362	-772894595562
SPT(16)	2121716087438952583	0 28 40 66 88 94 144 150 154 160 210 216 238 264 276 304	-745969565968
STPT(10)	2121716108862338531	0 2 6 8 48 50 90 92 96 98	-724546180020
STPT(10)	2121716560390077071	0 2 36 38 78 80 120 122 156 158	-273018441480
SPT(16)	2121716612422296311	0 60 78 120 122 162 168 182 186 200 206 246 248 290 308 368	-220986222240
SPT(16)	2121717312831023447	0 42 44 86 92 140 242 246 260 264 366 414 420 462 464 506	479422504896
STPT(10)	2121717375461918447	0 2 90 92 210 212 330 332 420 422	542053399896
STPT(10)	2121717578259329819	0 2 18 20 30 32 42 44 60 62	744850811268
STPT(10)	2121717719059574261	0 2 66 68 108 110 150 152 216 218	885651055710
SPT(16)	2121717854960705381	0 56 72 86 90 116 122 132 200 210 216 242 246 260 276 332	1021552186830