Prime p₀= 2541495278294918681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 40 2 70 2 106 2 58 2 (?)
a_n: 0 2 36 38 66 68 108 110 180 182 288 290 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 34 28 40 70 106 58

STPT(10)	2541493082268007001	0 2 36 38 78 80 120 122 156 158	-2196026911680
SPT(16)	2541493202048488771	0 6 28 40 42 58 90 100 108 118 150 166 168 180 202 208	-2076246429910
SPT(16)	2541494215700962421	0 20 60 78 146 182 210 228 260 278 306 342 410 428 468 488	-1062593956260
SPT(16)	2541494263558446527	0 6 24 42 50 60 122 132 134 144 206 216 224 242 260 266	-1014736472154
STPT(10)	2541494813711111309	0 2 18 20 30 32 42 44 60 62	-464583807372
STPT(10)	2541495277134521471	0 2 30 32 78 80 126 128 156 158	-1160397210
STPT(10)	2541495291355080059	0 2 18 20 30 32 42 44 60 62	13060161378
SPT(16)	2541495328967472499	0 40 42 84 94 112 114 124 168 178 180 198 208 250 252 292	50672553818
SPT(16)	2541495447880713637	0 36 42 52 54 120 130 154 162 186 196 262 264 274 280 316	169585794956
STPT(10)	2541495530290520537	0 2 24 26 42 44 60 62 84 86	251995601856
SPT(16)	2541496214042860549	0 4 48 112 142 150 172 198 364 390 412 420 450 514 558 562	935747941868