Prime p₀= 2791038677701912541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: JayPi
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2791037091125445913	0 24 78 114 130 144 148 150 154 156 160 174 190 226 280 304	-1586576466628
SPT(16)	2791037235988817147	0 36 96 120 170 180 182 246 380 444 446 456 506 530 590 626	-1441713095394
STPT(10)	2791037252640441071	0 2 36 38 78 80 120 122 156 158	-1425061471470
STPT(10)	2791037704749734897	0 2 30 32 72 74 114 116 144 146	-972952177644
SPT(16)	2791037987815695281	0 186 192 228 248 290 300 306 362 368 378 420 440 476 482 668	-689886217260
TPT(14)	2791038161726949437	0 2 30 32 132 134 144 146 294 296 330 332 420 422	-515974963104
STPT(10)	2791038991558161389	0 2 42 44 90 92 138 140 180 182	313856248848
SPT(16)	2791039135268073523	0 10 18 30 54 88 94 136 198 240 246 280 304 316 324 334	457566160982
SPT(16)	2791039690512391051	0 28 70 88 118 126 138 210 268 340 352 360 390 408 450 478	1012810478510
SPT(16)	2791039724174869483	0 10 18 24 66 70 88 150 214 276 294 298 340 346 354 364	1046472956942
SPT(13)	2791040318281240517	0 120 126 156 186 204 240 276 294 324 354 360 480	1640579327976