Prime p₀= 727260529265915969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	727258979229221573	0 24 44 50 54 78 128 138 140 150 200 224 228 234 254 278	-1550036694396
STPT(10)	727259746431984131	0 2 36 38 78 80 120 122 156 158	-782833931838
SPT(16)	727260114601186259	0 60 62 80 98 104 108 224 378 494 498 504 522 540 542 602	-414664729710
TPT(14)	727260184413049751	0 2 6 8 60 62 90 92 228 230 330 332 336 338	-344852866218
SPT(16)	727260273241809941	0 6 12 30 36 72 110 132 140 162 200 236 242 260 266 272	-256024106028
SPT(16)	727260383780271493	0 6 18 34 40 48 78 84 130 136 166 174 180 196 208 214	-145485644476
TPT(14)	727260541809077321	0 2 36 38 48 50 66 68 78 80 126 128 138 140	12543161352
STPT(10)	727260995036602067	0 2 30 32 42 44 54 56 84 86	465770686098
SPT(16)	727261153533262063	0 18 24 60 88 94 100 154 174 228 234 240 268 304 310 328	624267346094
SPT(16)	727261332085427401	0 10 40 52 106 138 142 162 196 216 220 252 306 318 348 358	802819511432
SPT(16)	727261404212182943	0 6 26 38 54 74 80 98 186 204 210 230 246 258 278 284	874946266974