Prime p₀= 2779747395681279941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: gemini8
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2779746210439207103	0 26 78 90 96 128 134 164 180 210 216 248 254 266 318 344	-1185242072838
TPT(14)	2779746248340128189	0 2 42 44 48 50 78 80 150 152 168 170 288 290	-1147341151752
SPT(16)	2779746367389862459	0 28 42 58 70 94 102 112 180 190 198 222 234 250 264 292	-1028291417482
STPT(10)	2779746711958260311	0 2 36 38 78 80 120 122 156 158	-683723019630
SPT(16)	2779746816124895389	0 48 64 78 120 132 154 190 252 288 310 322 364 378 394 442	-579556384552
SPT(16)	2779747120917767267	0 44 80 120 150 186 194 204 242 252 260 296 326 366 402 446	-274763512674
STPT(10)	2779747609413241679	0 2 18 20 60 62 102 104 120 122	213731961738
SPT(16)	2779747755440193301	0 30 36 78 88 100 106 108 310 312 318 330 340 382 388 418	359758913360
SPT(18)	2779748239282193287	0 42 52 64 114 132 160 190 210 226 246 276 304 322 372 384 394 436	843600913346
STPT(10)	2779748314624907531	0 2 6 8 48 50 90 92 96 98	918943627590
STPT(10)	2779748793095973077	0 2 30 32 42 44 54 56 84 86	1397414693136