Prime p₀= 2089624763491945637 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2089623188499131743	0 24 28 64 78 138 154 160 168 174 190 250 264 300 304 328	-1574992813894
TPT(14)	2089623225030598529	0 2 18 20 42 44 60 62 108 110 348 350 390 392	-1538461347108
STPT(10)	2089623474102066611	0 2 36 38 78 80 120 122 156 158	-1289389879026
SPT(16)	2089623536619373253	0 6 20 98 200 228 240 270 314 344 356 384 486 564 578 584	-1226872572384
STPT(10)	2089624381806544337	0 2 60 62 72 74 84 86 144 146	-381685401300
SPT(16)	2089624699207223809	0 4 24 54 60 64 70 88 120 138 144 148 154 184 204 208	-64284721828
SPT(16)	2089624770269574119	0 24 30 38 50 72 92 108 134 150 170 192 204 212 218 242	6777628482
SPT(16)	2089624862395872757	0 42 64 76 90 96 102 186 190 274 280 286 300 312 334 376	98903927120
STPT(10)	2089624930033696379	0 2 18 20 30 32 42 44 60 62	166541750742
SPT(16)	2089624938029055649	0 28 48 70 84 120 144 150 172 178 202 238 252 274 294 322	174537110012
SPT(16)	2089625234503610443	0 40 78 100 106 124 180 190 294 304 360 378 384 406 444 484	471011664806