Prime p₀= 2071142052506867279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Cruncher Pete
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2071141008828816599	0 2 38 72 104 152 164 174 188 198 210 258 290 324 360 362	-1043678050680
SPT(16)	2071141078749003353	0 56 60 78 86 98 170 198 266 294 366 378 386 404 408 464	-973757863926
STPT(10)	2071141180279916411	0 2 6 8 18 20 30 32 36 38	-872226950868
STPT(10)	2071141892695500011	0 2 30 32 78 80 126 128 156 158	-159811367268
STPT(10)	2071141932832788857	0 2 30 32 42 44 54 56 84 86	-119674078422
STPT(10)	2071141937618840291	0 2 6 8 18 20 30 32 36 38	-114888026988
SPT(16)	2071142257134835471	0 42 72 82 96 100 112 130 192 210 222 226 240 250 280 322	204627968192
STPT(10)	2071142304680524091	0 2 30 32 78 80 126 128 156 158	252173656812
STPT(10)	2071142580931472309	0 2 18 20 30 32 42 44 60 62	528424605030
TPT(14)	2071142730025449497	0 2 30 32 42 44 60 62 102 104 132 134 174 176	677518582218
TPT(14)	2071142866704284027	0 2 54 56 90 92 144 146 210 212 252 254 282 284	814197416748