Prime p₀= 798349704717859961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Frank [NT]
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	798348421152377999	0 2 14 74 92 102 114 150 212 248 260 270 288 348 360 362	-1283565481962
STPT(12)	798348557462966171	0 2 30 32 60 62 96 98 126 128 156 158	-1147254893790
STPT(10)	798348988045362659	0 2 42 44 90 92 138 140 180 182	-716672497302
STPT(10)	798349060488169241	0 2 6 8 18 20 30 32 36 38	-644229690720
SPT(16)	798349531940245781	0 2 12 18 60 146 152 168 200 216 222 308 350 356 366 368	-172777614180
SPT(16)	798349675267564639	0 52 60 84 102 154 172 228 244 300 318 370 388 412 420 472	-29450295322
SPT(16)	798350108000146063	0 6 10 36 64 76 94 108 136 150 168 180 208 234 238 244	403282286102
SPT(16)	798350278315540669	0 54 88 94 108 118 138 180 202 244 264 274 288 294 328 382	573597680708
STPT(10)	798350343672256301	0 2 36 38 108 110 180 182 216 218	638954396340
SPT(16)	798350434021286999	0 24 54 98 114 138 140 168 194 222 224 248 264 308 338 362	729303427038
SPT(16)	798350464410099241	0 18 186 196 216 238 246 268 270 292 300 322 342 352 520 538	759692239280