Prime p₀= 1437464840465598869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 64 2 28 2 22 2 4 2 40 2 (?)
a_n: 0 2 72 74 138 140 168 170 192 194 198 200 240 242
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: 242
Found by: Theadalus
db: batch=78, k=14, 70 64 28 22 4 40

STPT(10)	1437463993955101109	0 2 48 50 90 92 132 134 180 182	-846510497760
SPT(16)	1437464160089817883	0 34 36 60 64 70 130 148 156 174 234 240 244 268 270 304	-680375780986
SPT(16)	1437464529334851401	0 42 48 66 68 96 152 158 180 186 242 270 272 290 296 338	-311130747468
SPT(16)	1437464586194811437	0 2 20 50 84 86 90 110 156 176 180 182 216 246 264 266	-254270787432
STPT(10)	1437464657922856391	0 2 6 8 48 50 90 92 96 98	-182542742478
SPT(16)	1437464785443992369	0 30 42 44 102 138 152 158 234 240 254 290 348 350 362 392	-55021606500
STPT(10)	1437465084145873379	0 2 18 20 60 62 102 104 120 122	243680274510
SPT(16)	1437465216838367261	0 2 12 72 86 122 132 150 212 230 240 276 290 350 360 362	376372768392
SPT(16)	1437465450569912749	0 52 82 112 144 174 192 220 252 280 298 328 360 390 420 472	610104313880
STPT(10)	1437465609964756037	0 2 12 14 42 44 72 74 84 86	769499157168
STPT(10)	1437466114708372247	0 2 42 44 72 74 102 104 144 146	1274242773378