Prime p₀= 1689782833075031867 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: Vato
db: batch=79, k=10, 2 10 2 28 2

TPT(14)	1689782166254130497	0 2 24 26 84 86 132 134 150 152 222 224 234 236	-666820901370
STPT(10)	1689782481520946777	0 2 30 32 42 44 54 56 84 86	-351554085090
SPT(16)	1689782549921943091	0 46 60 82 130 142 180 196 252 268 306 318 366 388 402 448	-283153088776
SPT(16)	1689782693748827429	0 8 30 68 78 114 152 162 170 180 218 254 264 302 324 332	-139326204438
SPT(16)	1689782773362659687	0 20 90 134 140 144 162 174 230 242 260 264 270 314 384 404	-59712372180
SPT(16)	1689782826676911097	0 46 66 70 126 130 154 222 244 312 336 340 396 400 420 466	-6398120770
STPT(10)	1689783066532016549	0 2 18 20 30 32 42 44 60 62	233456984682
SPT(16)	1689783091413186773	0 14 54 68 104 110 198 254 300 356 444 450 486 500 540 554	258338154906
SPT(16)	1689783122571503623	0 28 30 66 70 88 100 108 118 126 138 156 160 196 198 226	289496471756
SPT(16)	1689783193710831287	0 14 32 60 102 144 146 150 176 180 182 224 266 294 312 326	360635799420
STPT(10)	1689783264973954061	0 2 6 8 18 20 30 32 36 38	431898922194