Prime p₀= 2782841464097262851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 40 2

SPT(18)	2782840539356816459	0 2 14 44 80 98 108 152 162 170 180 224 234 252 288 318 330 332	-924740446392
TPT(14)	2782840732079950307	0 2 54 56 84 86 132 134 192 194 204 206 210 212	-732017312544
SPT(16)	2782840855939059169	0 18 28 30 34 52 78 112 150 184 210 228 232 234 244 262	-608158203682
SPT(16)	2782840906610332987	0 6 40 42 60 72 102 124 132 154 184 196 214 216 250 256	-557486929864
SPT(16)	2782841150957337721	0 28 102 118 142 202 208 258 292 342 348 408 432 448 522 550	-313139925130
STPT(10)	2782841218617702839	0 2 42 44 60 62 78 80 120 122	-245479560012
TPT(16)	2782842170215625261	0 2 18 20 78 80 258 260 330 332 366 368 408 410 456 458	706118362410
STPT(10)	2782842271442467007	0 2 54 56 72 74 90 92 144 146	807345204156
SPT(16)	2782843560451369187	0 36 50 84 90 146 164 170 216 222 240 296 302 336 350 386	2096354106336
SPT(16)	2782843890763889213	0 78 98 114 144 158 164 170 198 204 210 224 254 270 290 368	2426666626362
STPT(10)	2782843954360396007	0 2 54 56 72 74 90 92 144 146	2490263133156