Prime p₀= 1275235237853336909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Egon olsen
db: batch=77, k=10, 2 76 2 40 2

SPT(16)	1275234110147035331	0 18 42 126 132 138 152 156 182 186 200 206 212 296 320 338	-1127706301578
SPT(16)	1275234303240796933	0 34 94 100 118 130 144 196 198 250 264 276 294 300 360 394	-934612539976
SPT(16)	1275234361786736063	0 6 30 48 56 84 108 116 138 146 170 198 206 224 248 254	-876066600846
SPT(16)	1275234681277483163	0 14 18 56 80 108 138 200 264 326 356 384 408 446 450 464	-556575853746
SPT(16)	1275234902108474639	0 50 92 98 104 120 132 170 222 260 272 288 294 300 342 392	-335744862270
STPT(10)	1275235100717979221	0 2 6 8 18 20 30 32 36 38	-137135357688
STPT(10)	1275235241428663157	0 2 30 32 42 44 54 56 84 86	3575326248
SPT(16)	1275235483485671269	0 70 90 130 132 160 258 268 354 364 462 490 492 532 552 622	245632334360
SPT(16)	1275235500263317639	0 18 40 78 82 100 114 142 210 238 252 270 274 312 334 352	262409980730
TPT(14)	1275235992919241291	0 2 30 32 66 68 168 170 198 200 276 278 288 290	755065904382
STPT(10)	1275235995023302391	0 2 48 50 228 230 408 410 456 458	757169965482