Prime p₀= 2977194936116358491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 70 2 88 2 124 2 58 2 (?)
a_n: 0 2 18 20 48 50 120 122 210 212 336 338 396 398
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: 398
Found by: Alnitak2019
db: batch=82, k=14, 16 28 70 88 124 58

SPT(20)	2977193331416247241	0 12 16 30 48 70 88 96 138 162 166 190 232 240 258 280 298 312 316 328	-1604700111250
SPT(16)	2977193797299691859	0 8 60 68 80 110 134 140 162 168 192 222 234 242 294 302	-1138816666632
TPT(14)	2977193862826076849	0 2 60 62 90 92 132 134 258 260 270 272 348 350	-1073290281642
STPT(10)	2977193900062612817	0 2 30 32 72 74 114 116 144 146	-1036053745674
SPT(16)	2977194187702970549	0 14 20 80 90 150 174 182 240 248 272 332 342 402 408 422	-748413387942
STPT(10)	2977194242301205637	0 2 42 44 72 74 102 104 144 146	-693815152854
SPT(16)	2977195358741257877	0 32 44 54 90 144 152 222 242 312 320 374 410 420 432 464	422624899386
SPT(16)	2977195842791440223	0 20 38 48 50 74 104 108 116 120 150 174 176 186 204 224	906675081732
STPT(10)	2977195932766600211	0 2 6 8 18 20 30 32 36 38	996650241720
STPT(10)	2977196259785295311	0 2 30 32 78 80 126 128 156 158	1323668936820
SPT(16)	2977196387506788547	0 36 64 114 156 172 184 220 246 282 294 310 352 402 430 466	1451390430056