Prime p₀= 2156247452377359569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 58 2 22 2 34 2 22 2 (?)
a_n: 0 2 42 44 138 140 198 200 222 224 258 260 282 284
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: 284
Found by: Landjunge
db: batch=81, k=14, 40 94 58 22 34 22

SPT(16)	2156245494573038357	0 14 24 54 56 66 90 146 150 206 230 240 242 272 282 296	-1957804321212
STPT(10)	2156245701786467969	0 2 18 20 30 32 42 44 60 62	-1750590891600
STPT(10)	2156246405302439117	0 2 42 44 132 134 222 224 264 266	-1047074920452
SPT(16)	2156246678905533587	0 6 14 24 42 74 80 92 114 126 132 164 182 192 200 206	-773471825982
SPT(16)	2156246715422451101	0 6 20 30 98 126 140 186 212 258 272 300 368 378 392 398	-736954908468
STPT(10)	2156246824719621449	0 2 12 14 30 32 48 50 60 62	-627657738120
SPT(16)	2156247534600213619	0 28 78 88 90 118 120 148 192 220 222 250 252 262 312 340	82222854050
TPT(14)	2156248050157337009	0 2 30 32 102 104 108 110 150 152 222 224 228 230	597779977440
TPT(14)	2156248050747199361	0 2 30 32 96 98 108 110 168 170 210 212 276 278	598369839792
TPT(14)	2156248077849804551	0 2 18 20 90 92 138 140 156 158 216 218 240 242	625472444982
STPT(10)	2156248669789883531	0 2 36 38 78 80 120 122 156 158	1217412523962