Prime p₀= 4410853431499138991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG]KidDoesCrunch
db: batch=85, k=10, 2 4 2 40 2

TPT(14)	4410852036952417541	0 2 18 20 36 38 168 170 378 380 396 398 456 458	-1394546721450
STPT(10)	4410852203625576851	0 2 6 8 18 20 30 32 36 38	-1227873562140
STPT(14)	4410852880732745729	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-550766393262
TPT(14)	4410852880732745729	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-550766393262
STPT(10)	4410852899915692211	0 2 36 38 78 80 120 122 156 158	-531583446780
SPT(16)	4410853191885673453	0 16 34 40 90 118 138 196 228 286 306 334 384 390 408 424	-239613465538
SPT(16)	4410853483785355301	0 6 18 36 56 60 62 120 188 246 248 252 272 290 302 308	52286216310
SPT(16)	4410853498610403209	0 2 30 72 74 92 134 150 212 228 270 288 290 332 360 362	67111264218
STPT(10)	4410853876479058997	0 2 42 44 102 104 162 164 204 206	444979920006
SPT(16)	4410855226742639333	0 50 156 180 198 218 224 228 236 240 246 266 284 308 414 464	1795243500342
STPT(10)	4410855576263032109	0 2 48 50 90 92 132 134 180 182	2144763893118