Prime p₀= 2688726164315970809 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2688725223876770503	0 40 78 88 124 144 174 208 216 250 280 300 336 346 384 424	-940439200306
STPT(10)	2688725598504415649	0 2 12 14 90 92 168 170 180 182	-565811555160
STPT(10)	2688725685449573387	0 2 90 92 102 104 114 116 204 206	-478866397422
STPT(10)	2688725744319875081	0 2 6 8 48 50 90 92 96 98	-419996095728
STPT(10)	2688725960794106411	0 2 6 8 48 50 90 92 96 98	-203521864398
TPT(14)	2688726108032263097	0 2 42 44 120 122 192 194 204 206 324 326 402 404	-56283707712
SPT(16)	2688727720373809889	0 12 24 32 48 78 80 102 140 162 164 194 210 218 230 242	1556057839080
SPT(16)	2688728189927482673	0 6 18 20 78 146 188 210 224 246 288 356 414 416 428 434	2025611511864
STPT(10)	2688728416525767191	0 2 36 38 78 80 120 122 156 158	2252209796382
SPT(18)	2688728500965442183	0 10 34 36 58 78 84 96 136 138 178 190 196 216 238 240 264 274	2336649471374
SPT(16)	2688728534247430069	0 28 58 94 108 142 160 198 244 282 300 334 348 384 414 442	2369931459260