Prime p₀= 819822159023257601 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 46 2

SPT(16)	819821696840193787	0 22 42 102 120 130 132 154 180 202 204 214 232 292 312 334	-462183063814
SPT(16)	819821895453621817	0 16 64 96 136 172 190 274 312 396 414 450 490 522 570 586	-263569635784
STPT(10)	819821955436911587	0 2 30 32 42 44 54 56 84 86	-203586346014
SPT(16)	819821991975338003	0 66 68 84 114 156 164 194 240 270 278 320 350 366 368 434	-167047919598
SPT(16)	819822025549909463	0 20 90 110 116 144 200 228 266 294 350 378 384 404 474 494	-133473348138
TPT(14)	819822026201328089	0 2 30 32 42 44 78 80 132 134 162 164 258 260	-132821929512
TPT(14)	819822206273272919	0 2 12 14 78 80 120 122 138 140 192 194 210 212	47250015318
STPT(10)	819822437839437881	0 2 30 32 60 62 90 92 120 122	278816180280
SPT(16)	819822441115078237	0 40 72 82 102 106 114 132 154 172 180 184 204 214 246 286	282091820636
STPT(10)	819822573259027241	0 2 36 38 78 80 120 122 156 158	414235769640
SPT(16)	819822703353057737	0 12 14 32 72 92 110 116 180 186 204 224 264 282 284 296	544329800136