Prime p₀= 816419515241927879 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: [SG]FX
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	816418788390916757	0 30 56 144 186 212 224 246 260 282 294 320 362 450 476 506	-726851011122
TPT(14)	816418852142160581	0 2 18 20 96 98 108 110 138 140 150 152 156 158	-663099767298
SPT(16)	816418871090418341	0 26 50 116 126 146 168 170 186 188 210 230 240 306 330 356	-644151509538
SPT(16)	816418984793668309	0 34 48 58 70 88 144 148 180 184 240 258 270 280 294 328	-530448259570
SPT(16)	816418988475668057	0 30 32 36 42 62 90 116 186 212 240 260 266 270 272 302	-526766259822
TPT(16)	816419189930095679	0 2 12 14 30 32 198 200 222 224 228 230 252 254 312 314	-325311832200
SPT(16)	816419527279172731	0 28 40 46 66 78 118 126 172 180 220 232 252 258 270 298	12037244852
SPT(16)	816419578400601767	0 12 14 36 60 120 186 210 236 260 326 386 410 432 434 446	63158673888
STPT(12)	816419872782163589	0 2 18 20 42 44 78 80 102 104 120 122	357540235710
SPT(16)	816419920911090997	0 54 72 130 154 190 202 210 286 294 306 342 366 424 442 496	405669163118
SPT(16)	816420329965989797	0 54 80 144 152 156 164 180 296 312 320 324 332 396 422 476	814724061918