Prime p₀= 2551003123513351007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2551001886036106739	0 14 42 48 68 90 98 110 132 144 152 174 194 200 228 242	-1237477244268
STPT(10)	2551001947521534641	0 2 78 80 138 140 198 200 276 278	-1175991816366
STPT(10)	2551002229297842569	0 2 18 20 30 32 42 44 60 62	-894215508438
SPT(16)	2551002293815848317	0 12 14 30 32 42 54 60 194 200 212 222 224 240 242 254	-829697502690
SPT(16)	2551002483451028653	0 16 40 78 106 216 226 238 336 348 358 468 496 534 558 574	-640062322354
SPT(16)	2551002539284754923	0 30 34 70 88 118 130 144 154 168 180 210 228 264 268 298	-584228596084
SPT(16)	2551003624382903101	0 12 18 40 52 88 100 102 178 180 192 228 240 262 268 280	500869552094
SPT(16)	2551003717761030151	0 36 70 102 138 142 148 168 310 330 336 340 376 408 442 478	594247679144
STPT(10)	2551003746249750677	0 2 12 14 42 44 72 74 84 86	622736399670
SPT(16)	2551003899543587861	0 6 20 66 86 116 132 168 230 266 282 312 332 378 392 398	776030236854
SPT(18)	2551004236750009133	0 8 86 108 134 144 146 158 186 188 216 228 230 240 266 288 366 374	1113236658126