Prime p₀= 2250927562858681697 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: Rantanplan
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2250925278433742369	0 2 18 20 30 32 42 44 60 62	-2284424939328
TPT(14)	2250925757817239999	0 2 12 14 18 20 72 74 108 110 138 140 222 224	-1805041441698
SPT(16)	2250925772735624827	0 34 42 52 94 112 142 150 166 174 204 222 264 274 282 316	-1790123056870
SPT(16)	2250925996274667377	0 14 26 42 44 72 102 116 150 164 194 222 224 240 252 266	-1566584014320
SPT(16)	2250926184725269819	0 34 54 82 120 144 148 180 202 234 238 262 300 328 348 382	-1378133411878
TPT(14)	2250926592919825151	0 2 6 8 36 38 48 50 78 80 126 128 216 218	-969938856546
SPT(16)	2250927650629312033	0 60 84 88 136 144 166 168 196 198 220 228 276 280 304 364	87770630336
SPT(16)	2250927834321170267	0 20 26 42 72 84 110 132 134 156 182 194 224 240 246 266	271462488570
STPT(10)	2250928128809918807	0 2 12 14 42 44 72 74 84 86	565951237110
SPT(16)	2250928164905394661	0 10 16 30 46 58 88 96 142 150 180 192 208 222 228 238	602046712964
SPT(16)	2250928203042797287	0 22 42 60 102 142 144 190 234 280 282 322 364 382 402 424	640184115590