Prime p₀= 1289371798597632569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 88 2 34 2 88 2 (?)
a_n: 0 2 30 32 42 44 72 74 162 164 198 200 288 290
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: 290
Found by: Cruncher Pete
db: batch=77, k=14, 28 10 28 88 34 88

STPT(10)	1289370633436447277	0 2 42 44 72 74 102 104 144 146	-1165161185292
SPT(16)	1289370692257413379	0 18 28 70 84 94 108 118 120 130 144 154 168 210 220 238	-1106340219190
SPT(16)	1289371046860156751	0 30 66 72 102 108 122 140 168 186 200 206 236 242 278 308	-751737475818
SPT(16)	1289371391560872811	0 22 66 78 102 118 120 192 196 268 270 286 310 322 366 388	-407036759758
TPT(14)	1289371622378686571	0 2 6 8 30 32 48 50 90 92 138 140 258 260	-176218945998
STPT(10)	1289371775287845419	0 2 42 44 60 62 78 80 120 122	-23309787150
SPT(16)	1289371811757552493	0 66 76 78 88 90 106 120 136 150 166 168 178 180 190 256	13159919924
SPT(16)	1289371823615889659	0 8 20 78 84 128 132 294 338 500 504 548 554 612 624 632	25018257090
STPT(10)	1289372126202722477	0 2 24 26 42 44 60 62 84 86	327605089908
STPT(10)	1289372479795692977	0 2 24 26 42 44 60 62 84 86	681198060408
TPT(14)	1289372626464682259	0 2 78 80 132 134 162 164 168 170 222 224 348 350	827867049690