Prime p₀= 2630069569331130257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 118 2 28 2 28 2 40 2 (?)
a_n: 0 2 60 62 90 92 210 212 240 242 270 272 312 314
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: 314
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 28 118 28 28 40

SPT(16)	2630068927414132987	0 46 60 70 76 150 160 186 250 276 286 360 366 376 390 436	-641916997270
SPT(16)	2630068964163196217	0 6 60 72 132 146 210 212 384 386 450 464 524 536 590 596	-605167934040
SPT(16)	2630069036621563897	0 100 184 196 226 250 274 276 280 282 306 330 360 372 456 556	-532709566360
SPT(16)	2630069107262671933	0 28 70 108 130 210 238 256 270 288 316 396 418 456 498 526	-462068458324
STPT(10)	2630069236884973727	0 2 30 32 42 44 54 56 84 86	-332446156530
TPT(14)	2630069379967989689	0 2 72 74 90 92 162 164 228 230 288 290 330 332	-189363140568
SPT(16)	2630069612375129173	0 16 28 30 34 84 96 100 144 148 160 210 214 216 228 244	43043998916
SPT(16)	2630069734152191899	0 18 22 28 84 130 138 252 310 424 432 478 534 540 544 562	164821061642
SPT(16)	2630069877985686779	0 2 104 114 140 210 258 290 342 374 422 492 518 528 630 632	308654556522
SPT(16)	2630070523047237241	0 48 90 118 130 132 168 178 210 220 256 258 270 298 340 388	953716106984
STPT(10)	2630070575547635147	0 2 30 32 72 74 114 116 144 146	1006216504890