Prime p₀= 2802230861726117597 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)	2802228663963283811	0 32 62 68 78 86 92 116 282 306 312 320 330 336 366 398	-2197762833786
STPT(12)	2802228839741077289	0 2 12 14 30 32 72 74 90 92 102 104	-2021985040308
STPT(10)	2802229632918178157	0 2 30 32 60 62 90 92 120 122	-1228807939440
SPT(16)	2802230435770943269	0 28 58 60 78 94 102 108 184 190 198 214 232 234 264 292	-425955174328
SPT(16)	2802230630177189641	0 16 22 78 108 126 138 148 240 250 262 280 310 366 372 388	-231548927956
SPT(16)	2802230840934355577	0 36 42 62 80 84 126 162 164 200 242 246 264 284 290 326	-20791762020
STPT(10)	2802230924787050969	0 2 42 44 60 62 78 80 120 122	63060933372
STPT(10)	2802231144180239411	0 2 6 8 48 50 90 92 96 98	282454121814
TPT(14)	2802231463090045079	0 2 18 20 90 92 132 134 228 230 252 254 288 290	601363927482
STPT(10)	2802231578576337377	0 2 30 32 42 44 54 56 84 86	716850219780
STPT(10)	2802231628215254699	0 2 48 50 60 62 72 74 120 122	766489137102