Prime p₀= 1016801652001401779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: HenkM
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1016800209857645923	0 10 28 36 54 78 94 106 168 180 196 220 238 246 264 274	-1442143755856
SPT(16)	1016800403116644163	0 6 24 34 54 138 150 160 294 304 316 400 420 430 448 454	-1248884757616
STPT(10)	1016801351191313789	0 2 48 50 90 92 132 134 180 182	-300810087990
SPT(16)	1016801419405642883	0 6 48 56 78 110 150 218 306 374 414 446 468 476 518 524	-232595758896
SPT(16)	1016801531496767507	0 24 56 66 74 102 116 122 144 150 164 192 200 210 242 266	-120504634272
SPT(16)	1016801634629396279	0 24 104 110 122 138 140 164 198 222 224 240 252 258 338 362	-17372005500
SPT(16)	1016801979489252587	0 14 24 30 74 86 96 116 204 224 234 246 290 296 306 320	327487850808
SPT(16)	1016802093651386293	0 4 54 70 88 168 186 250 264 328 346 426 444 460 510 514	441649984514
SPT(16)	1016802451964242319	0 8 38 48 80 104 110 132 140 162 168 192 224 234 264 272	799962840540
STPT(10)	1016802587902424537	0 2 30 32 42 44 54 56 84 86	935901022758
SPT(16)	1016802790749003589	0 18 30 58 60 70 108 154 174 220 258 268 270 298 310 328	1138747601810