Prime p₀= 2589153258054882557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 22 2 184 2 22 2 4 2 (?)
a_n: 0 2 84 86 150 152 174 176 360 362 384 386 390 392
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 392
Found by: RFGuy_KCCO
db: batch=82, k=14, 82 64 22 184 22 4

SPT(16)	2589151478541822743	0 20 24 26 98 156 168 180 224 236 248 306 378 380 384 404	-1779513059814
STPT(10)	2589151509459366791	0 2 30 32 60 62 90 92 120 122	-1748595515766
STPT(10)	2589152249209994549	0 2 48 50 90 92 132 134 180 182	-1008844888008
STPT(10)	2589152402245424339	0 2 42 44 60 62 78 80 120 122	-855809458218
TPT(14)	2589152579853509699	0 2 30 32 72 74 108 110 120 122 162 164 168 170	-678201372858
STPT(10)	2589153010334753459	0 2 42 44 60 62 78 80 120 122	-247720129098
SPT(16)	2589153652873176127	0 4 6 34 46 60 70 96 154 180 190 204 216 244 246 250	394818293570
SPT(16)	2589153765877302947	0 14 24 36 44 50 72 86 120 134 156 162 170 182 192 206	507822420390
SPT(16)	2589153925645559561	0 38 50 72 128 158 240 248 252 260 342 372 428 450 462 500	667590677004
SPT(16)	2589154021400101447	0 6 10 24 34 52 66 90 106 130 144 162 172 186 190 196	763345218890
TPT(14)	2589154045422924311	0 2 36 38 120 122 336 338 390 392 528 530 558 560	787368041754