Prime p₀= 2146236283258245767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2146235364520063049	0 32 62 72 80 90 114 150 164 200 224 234 242 252 282 314	-918738182718
SPT(16)	2146235510596253837	0 90 120 164 182 192 204 252 272 320 332 342 360 404 434 524	-772661991930
SPT(16)	2146235637333316093	0 4 10 24 60 64 96 126 148 178 210 214 250 264 270 274	-645924929674
SPT(16)	2146235677648049341	0 6 58 70 90 100 112 118 120 126 138 148 168 180 232 238	-605610196426
SPT(16)	2146235803210920571	0 10 30 78 100 106 120 148 168 196 210 216 238 286 306 316	-480047325196
SPT(16)	2146236008415654559	0 10 40 54 70 78 150 160 222 232 304 312 328 342 372 382	-274842591208
SPT(16)	2146236490279553051	0 8 18 20 78 120 168 212 216 260 308 350 408 410 420 428	207021307284
SPT(16)	2146236610292637383	0 114 174 180 236 278 296 306 308 318 336 378 434 440 500 614	327034391616
STPT(10)	2146236976344823667	0 2 30 32 42 44 54 56 84 86	693086577900
STPT(10)	2146237336918736447	0 2 12 14 42 44 72 74 84 86	1053660490680
STPT(12)	2146237444587449669	0 2 30 32 42 44 108 110 120 122 150 152	1161329203902