Prime p₀= 2943162557112452219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 58 2 10 2 70 2 28 2 (?)
a_n: 0 2 108 110 138 140 198 200 210 212 282 284 312 314
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: Landjunge
db: batch=82, k=14, 106 28 58 10 70 28

SPT(16)	2943161685696362651	0 6 8 72 80 86 96 98 120 122 132 138 146 210 212 218	-871416089568
TPT(14)	2943161866937898917	0 2 132 134 150 152 180 182 264 266 390 392 432 434	-690174553302
STPT(10)	2943162238285472387	0 2 30 32 60 62 90 92 120 122	-318826979832
SPT(16)	2943162252700446013	0 6 18 46 58 76 96 118 138 160 180 198 210 238 250 256	-304412006206
STPT(10)	2943162278091456539	0 2 18 20 30 32 42 44 60 62	-279020995680
STPT(10)	2943162378693987407	0 2 12 14 42 44 72 74 84 86	-178418464812
STPT(10)	2943163821868386119	0 2 48 50 90 92 132 134 180 182	1264755933900
STPT(12)	2943164108494431047	0 2 72 74 90 92 114 116 132 134 204 206	1551381978828
SPT(16)	2943164698177518179	0 14 54 72 80 92 138 180 362 404 450 462 470 488 528 542	2141065065960
SPT(13)	2943165084438437389	0 12 48 60 90 138 240 342 390 420 432 468 480	2527325985170
STPT(10)	2943165586010740469	0 2 42 44 120 122 198 200 240 242	3028898288250