Prime p₀= 2738589728361307979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 28 2 28 2 28 2 22 2 (?)
a_n: 0 2 30 32 138 140 168 170 198 200 228 230 252 254
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: 254
Found by: arkiss
db: batch=82, k=14, 28 106 28 28 28 22

SPT(16)	2738588717021881303	0 4 28 34 40 46 54 76 108 130 138 144 150 156 180 184	-1011339426676
SPT(18)	2738588801826307147	0 12 60 102 124 142 144 156 186 310 340 352 354 372 394 436 484 496	-926535000832
SPT(16)	2738588981734845167	0 26 74 84 96 110 162 164 222 224 276 290 302 312 360 386	-746626462812
SPT(16)	2738589070762195373	0 20 24 48 78 90 114 164 210 260 284 296 326 350 354 374	-657599112606
SPT(16)	2738589312269686703	0 20 48 60 126 188 200 218 336 354 366 428 494 506 534 554	-416091621276
SPT(16)	2738589557211609709	0 12 28 40 84 88 144 150 202 208 264 268 312 324 340 352	-171149698270
SPT(16)	2738589942953035817	0 90 92 120 176 200 230 312 314 396 426 450 506 534 536 626	214591727838
STPT(10)	2738590153073051621	0 2 36 38 78 80 120 122 156 158	424711743642
SPT(16)	2738590463479106149	0 18 30 40 60 70 88 112 198 222 240 250 270 280 292 310	735117798170
STPT(10)	2738590717653012917	0 2 30 32 60 62 90 92 120 122	989291704938
STPT(10)	2738591119460887511	0 2 6 8 18 20 30 32 36 38	1391099579532