Prime p₀= 2853726376533708449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 52 2 124 2 22 2 16 2 (?)
a_n: 0 2 12 14 48 50 102 104 228 230 252 254 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 10 34 52 124 22 16

TPT(14)	2853724344224806889	0 2 42 44 72 74 168 170 270 272 282 284 312 314	-2032308901560
TPT(14)	2853725314592023601	0 2 6 8 246 248 270 272 300 302 408 410 426 428	-1061941684848
SPT(16)	2853725538010125683	0 6 20 86 90 116 144 150 224 230 258 284 288 354 368 374	-838523582766
STPT(10)	2853725906161410977	0 2 30 32 72 74 114 116 144 146	-470372297472
SPT(16)	2853726309978883033	0 6 16 30 84 88 106 118 156 168 186 190 244 258 268 274	-66554825416
STPT(10)	2853726318362578817	0 2 30 32 72 74 114 116 144 146	-58171129632
TPT(14)	2853726933933847667	0 2 42 44 54 56 90 92 150 152 234 236 300 302	557400139218
STPT(10)	2853727082464073897	0 2 54 56 72 74 90 92 144 146	705930365448
SPT(16)	2853727509154315421	0 68 110 132 162 188 200 222 266 288 300 326 356 378 420 488	1132620606972
STPT(10)	2853727767081587621	0 2 36 38 78 80 120 122 156 158	1390547879172
STPT(10)	2853727981618266437	0 2 24 26 42 44 60 62 84 86	1605084557988