Prime p₀= 3002370824937496379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 118 2 46 2 10 2 76 2 16 2 (?)
a_n: 0 2 42 44 162 164 210 212 222 224 300 302 318 320
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: 320
Found by: [SG-FC] hl
db: batch=82, k=14, 40 118 46 10 76 16

STPT(10)	3002369618920889837	0 2 42 44 72 74 102 104 144 146	-1206016606542
TPT(14)	3002369709118935479	0 2 30 32 78 80 210 212 252 254 330 332 372 374	-1115818560900
SPT(16)	3002370121697201813	0 24 56 68 78 96 104 120 164 180 188 206 216 228 260 284	-703240294566
SPT(16)	3002370147343612637	0 30 50 54 86 96 114 144 212 242 260 270 302 306 326 356	-677593883742
SPT(16)	3002370404349537341	0 18 42 80 86 96 102 150 158 206 212 222 228 266 290 308	-420587959038
SPT(16)	3002370786184812467	0 14 24 74 84 126 162 176 300 314 350 392 402 452 462 476	-38752683912
STPT(10)	3002370878808273449	0 2 78 80 120 122 162 164 240 242	53870777070
SPT(16)	3002370878848894043	0 24 36 38 50 56 150 168 176 194 288 294 306 308 320 344	53911397664
SPT(16)	3002370886565336809	0 40 42 52 112 130 154 222 262 330 354 372 432 442 444 484	61627840430
SPT(16)	3002370910579201151	0 12 18 92 96 110 138 168 170 200 228 242 246 320 326 338	85641704772
SPT(16)	3002371075702872613	0 48 88 120 166 190 204 208 216 220 234 258 304 336 376 424	250765376234