Prime p₀= 2444669819748292397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 88 2 130 2 58 2 16 2 40 2 (?)
a_n: 0 2 72 74 162 164 294 296 354 356 372 374 414 416
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: 416
Found by: JayPi
db: batch=82, k=14, 70 88 130 58 16 40

SPT(16)	2444668230502850197	0 4 52 96 102 150 172 196 240 264 286 334 340 384 432 436	-1589245442200
STPT(10)	2444668475366635421	0 2 36 38 78 80 120 122 156 158	-1344381656976
STPT(10)	2444668723823303051	0 2 6 8 48 50 90 92 96 98	-1095924989346
STPT(10)	2444668979104895909	0 2 42 44 60 62 78 80 120 122	-840643396488
TPT(14)	2444669716826792759	0 2 42 44 78 80 120 122 132 134 192 194 210 212	-102921499638
SPT(16)	2444669766087488221	0 6 16 22 28 36 46 60 88 102 112 120 126 132 142 148	-53660804176
STPT(12)	2444670156717794009	0 2 30 32 42 44 90 92 102 104 132 134	336969501612
TPT(14)	2444670200318322551	0 2 108 110 126 128 150 152 198 200 240 242 246 248	380570030154
SPT(16)	2444670287395870433	0 6 8 14 20 56 128 146 168 186 258 294 300 306 308 314	467647578036
STPT(10)	2444670390016888169	0 2 42 44 90 92 138 140 180 182	570268595772
TPT(14)	2444670736391715971	0 2 60 62 66 68 138 140 198 200 228 230 240 242	916643423574