Prime p₀= 2244642388295843297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 88 2 88 2 4 2 22 2 16 2 (?)
a_n: 0 2 54 56 144 146 234 236 240 242 264 266 282 284
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: 284
Found by: eclipse99
db: batch=81, k=14, 52 88 88 4 22 16

SPT(16)	2244641421826168231	0 10 12 48 76 88 126 130 138 142 180 192 220 256 258 268	-966469675066
SPT(16)	2244641654912360471	0 8 48 50 56 96 108 146 210 248 260 300 306 308 348 356	-733383482826
SPT(16)	2244641787087654371	0 2 30 60 126 140 152 162 176 186 198 212 278 308 336 338	-601208188926
STPT(10)	2244641925463411841	0 2 6 8 48 50 90 92 96 98	-462832431456
STPT(10)	2244642081151927487	0 2 30 32 60 62 90 92 120 122	-307143915810
STPT(10)	2244642192180353261	0 2 6 8 18 20 30 32 36 38	-196115490036
STPT(10)	2244642509093744399	0 2 12 14 90 92 168 170 180 182	120797901102
STPT(10)	2244642695688829991	0 2 36 38 78 80 120 122 156 158	307392986694
SPT(16)	2244642960815442571	0 28 70 88 102 112 132 138 202 208 228 238 252 270 312 340	572519599274
STPT(10)	2244643115977445537	0 2 54 56 72 74 90 92 144 146	727681602240
STPT(10)	2244643482088253639	0 2 42 44 120 122 198 200 240 242	1093792410342