Prime p₀= 2259409195775267999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 28 2 10 2 58 2 10 2 (?)
a_n: 0 2 12 14 108 110 138 140 150 152 210 212 222 224
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: 224
Found by: JayPi
db: batch=81, k=14, 10 94 28 10 58 10

STPT(10)	2259408379298778737	0 2 30 32 42 44 54 56 84 86	-816476489262
SPT(16)	2259408426373142311	0 16 46 106 142 148 166 180 238 252 270 276 312 372 402 418	-769402125688
SPT(16)	2259408797765493349	0 24 28 48 52 70 78 82 150 154 162 180 184 204 208 232	-398009774650
STPT(10)	2259408963389531951	0 2 6 8 48 50 90 92 96 98	-232385736048
SPT(16)	2259408996026550803	0 14 26 36 56 86 114 144 320 350 378 408 428 438 450 464	-199748717196
SPT(16)	2259409164292974829	0 4 22 58 70 84 90 108 154 172 178 192 204 240 258 262	-31482293170
SPT(16)	2259409345762401223	0 10 46 100 124 154 156 196 198 238 240 270 294 348 384 394	149987133224
SPT(16)	2259409494505298911	0 6 40 42 46 48 70 96 172 198 220 222 226 228 262 268	298730030912
STPT(10)	2259409810974347567	0 2 30 32 42 44 54 56 84 86	615199079568
SPT(16)	2259410021062586081	0 30 56 78 92 132 138 180 218 260 266 306 320 342 368 398	825287318082
STPT(12)	2259410391999118469	0 2 18 20 60 62 150 152 192 194 210 212	1196223850470