Prime p₀= 2589168273707560421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 154 2 58 2 10 2 28 2 46 2 (?)
a_n: 0 2 30 32 186 188 246 248 258 260 288 290 336 338
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: 338
Found by: JayPi
db: batch=82, k=14, 28 154 58 10 28 46

STPT(10)	2589167108827545677	0 2 54 56 72 74 90 92 144 146	-1164880014744
STPT(10)	2589167658204792167	0 2 24 26 42 44 60 62 84 86	-615502768254
SPT(16)	2589167690080766029	0 28 78 120 160 162 190 204 208 222 250 252 292 334 384 412	-583626794392
SPT(16)	2589167697554267201	0 12 36 38 60 108 152 186 242 276 320 368 390 392 416 428	-576153293220
SPT(16)	2589167728495136941	0 40 52 126 138 150 166 168 190 192 208 220 232 306 318 358	-545212423480
SPT(16)	2589167991445825021	0 22 30 58 70 100 108 130 168 190 198 228 240 268 276 298	-282261735400
SPT(18)	2589169100449320391	0 18 22 36 78 148 178 228 256 342 370 420 450 520 562 576 580 598	826741759970
SPT(16)	2589169119088145261	0 26 42 56 78 92 96 120 128 152 156 170 192 206 222 248	845380584840
STPT(10)	2589169253880406271	0 2 6 8 48 50 90 92 96 98	980172845850
SPT(16)	2589169573190412301	0 40 42 66 78 102 118 126 172 180 196 220 232 256 258 298	1299482851880
STPT(10)	2589170204261280719	0 2 48 50 60 62 72 74 120 122	1930553720298