Prime p₀= 2251645580437542857 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: JayPi
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2251644709202619937	0 6 22 24 34 72 120 142 174 196 244 282 292 294 310 316	-871234922920
STPT(10)	2251645089933697571	0 2 36 38 78 80 120 122 156 158	-490503845286
SPT(16)	2251645228550219839	0 22 88 94 100 102 162 178 204 220 280 282 288 294 360 382	-351887323018
SPT(16)	2251645438258081889	0 24 38 48 72 122 132 144 188 200 210 260 284 294 308 332	-142179460968
SPT(16)	2251645521204757003	0 16 28 30 40 60 138 160 264 286 364 384 394 396 408 424	-59232785854
STPT(10)	2251645554745304621	0 2 36 38 78 80 120 122 156 158	-25692238236
TPT(14)	2251645619551491617	0 2 24 26 84 86 114 116 150 152 234 236 252 254	39113948760
STPT(10)	2251645786061783567	0 2 30 32 42 44 54 56 84 86	205624240710
STPT(10)	2251646098631079119	0 2 12 14 30 32 48 50 60 62	518193536262
SPT(16)	2251646489891241533	0 30 68 74 104 138 150 158 180 188 200 234 264 270 308 338	909453698676
SPT(16)	2251647010178285131	0 66 96 118 178 192 216 220 258 262 286 300 360 382 412 478	1429740742274