Prime p₀= 2589707262456089537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 40 2 34 2 10 2 16 2 (?)
a_n: 0 2 84 86 102 104 144 146 180 182 192 194 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 82 16 40 34 10 16

SPT(16)	2589706400932512959	0 18 30 42 128 164 174 180 242 248 258 294 380 392 404 422	-861523576578
SPT(16)	2589706704046823747	0 26 36 44 50 60 110 144 176 210 260 270 276 284 294 320	-558409265790
SPT(16)	2589707090397441659	0 14 30 120 140 150 182 194 210 222 254 264 284 374 390 404	-172058647878
TPT(14)	2589707091532940339	0 2 78 80 210 212 240 242 270 272 408 410 492 494	-170923149198
SPT(16)	2589707118384607289	0 32 38 80 84 122 132 138 194 200 210 248 252 294 300 332	-144071482248
SPT(16)	2589707252105900593	0 6 16 18 30 46 78 130 186 238 270 286 298 300 310 316	-10350188944
SPT(16)	2589707676269114399	0 78 102 152 180 192 194 218 234 258 260 272 300 350 374 452	413813024862
TPT(14)	2589707862199398791	0 2 48 50 90 92 156 158 168 170 186 188 210 212	599743309254
SPT(16)	2589708146889867281	0 26 36 38 68 102 110 120 248 258 266 300 330 332 342 368	884433777744
STPT(10)	2589708152217107531	0 2 30 32 78 80 126 128 156 158	889761017994
STPT(10)	2589708252916813277	0 2 12 14 42 44 72 74 84 86	990460723740