Prime p₀= 2873865991374591461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: Landjunge
db: batch=82, k=10, 2 76 2 28 2

SPT(16)	2873864750053046221	0 28 30 42 70 82 108 112 138 142 168 180 208 220 222 250	-1241321545240
STPT(10)	2873864787907439939	0 2 18 20 30 32 42 44 60 62	-1203467151522
SPT(20)	2873865098788547551	0 18 22 28 52 76 90 106 168 186 202 220 282 298 312 336 360 366 370 388	-892586043910
STPT(10)	2873865331484063471	0 2 36 38 78 80 120 122 156 158	-659890527990
SPT(16)	2873865636083810299	0 22 112 192 210 228 282 288 304 310 364 382 400 480 570 592	-355290781162
SPT(16)	2873865866911935397	0 6 24 34 66 84 106 126 130 150 172 190 222 232 250 256	-124462656064
SPT(13)	2873866059072635281	0 12 18 30 42 78 120 162 198 210 222 228 240	67698043820
STPT(10)	2873866099224158177	0 2 12 14 42 44 72 74 84 86	107849566716
STPT(10)	2873866271564830457	0 2 24 26 42 44 60 62 84 86	280190238996
SPT(16)	2873866744900455767	0 56 72 150 162 182 194 204 212 222 234 254 266 344 360 416	753525864306
STPT(10)	2873866869950554739	0 2 48 50 60 62 72 74 120 122	878575963278