Prime p₀= 2814211888193627429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 118 2 28 2 10 2 34 2 40 2 (?)
a_n: 0 2 60 62 180 182 210 212 222 224 258 260 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 58 118 28 10 34 40

SPT(16)	2814210637294915709	0 42 48 54 90 138 152 158 204 210 224 272 308 314 320 362	-1250898711720
STPT(10)	2814210692177138669	0 2 48 50 60 62 72 74 120 122	-1196016488760
STPT(10)	2814211049628671501	0 2 6 8 48 50 90 92 96 98	-838564955928
SPT(16)	2814211402178903033	0 90 114 128 138 140 164 206 258 300 324 326 336 350 374 464	-486014724396
SPT(16)	2814211669965444971	0 26 62 80 140 158 180 182 276 278 300 318 378 396 432 458	-218228182458
SPT(16)	2814211840908167827	0 64 102 114 124 136 144 154 222 232 240 252 262 274 312 376	-47285459602
TPT(14)	2814212231590708409	0 2 30 32 42 44 102 104 108 110 192 194 198 200	343397080980
TPT(14)	2814212297231196107	0 2 30 32 264 266 372 374 432 434 462 464 474 476	409037568678
STPT(10)	2814212510363336837	0 2 30 32 42 44 54 56 84 86	622169709408
STPT(10)	2814212642988652361	0 2 30 32 78 80 126 128 156 158	754795024932
STPT(10)	2814212678138065031	0 2 36 38 78 80 120 122 156 158	789944437602