Prime p₀= 2551003746249750677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2551002293815848317	0 12 14 30 32 42 54 60 194 200 212 222 224 240 242 254	-1452433902360
SPT(16)	2551002483451028653	0 16 40 78 106 216 226 238 336 348 358 468 496 534 558 574	-1262798722024
SPT(16)	2551002539284754923	0 30 34 70 88 118 130 144 154 168 180 210 228 264 268 298	-1206964995754
STPT(10)	2551003123513351007	0 2 12 14 72 74 132 134 144 146	-622736399670
SPT(16)	2551003624382903101	0 12 18 40 52 88 100 102 178 180 192 228 240 262 268 280	-121866847576
SPT(16)	2551003717761030151	0 36 70 102 138 142 148 168 310 330 336 340 376 408 442 478	-28488720526
SPT(16)	2551003899543587861	0 6 20 66 86 116 132 168 230 266 282 312 332 378 392 398	153293837184
SPT(18)	2551004236750009133	0 8 86 108 134 144 146 158 186 188 216 228 230 240 266 288 366 374	490500258456
TPT(14)	2551004325282991607	0 2 12 14 42 44 150 152 210 212 264 266 282 284	579033240930
STPT(10)	2551004741084615351	0 2 6 8 48 50 90 92 96 98	994834864674
TPT(14)	2551004892837376247	0 2 24 26 114 116 282 284 294 296 312 314 360 362	1146587625570