Prime p₀= 2087757494638310837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 16 2 40 2 124 2 40 2 (?)
a_n: 0 2 12 14 84 86 102 104 144 146 270 272 312 314
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: Euphoriabuzz
db: batch=80, k=14, 10 70 16 40 124 40

SPT(16)	2087755969821413513	0 6 14 30 74 90 108 110 144 146 164 180 224 240 248 254	-1524816897324
SPT(16)	2087756276124368747	0 6 30 36 44 56 60 74 132 146 150 162 170 176 200 206	-1218513942090
STPT(10)	2087756824068577559	0 2 18 20 30 32 42 44 60 62	-670569733278
STPT(10)	2087757169352489807	0 2 42 44 72 74 102 104 144 146	-325285821030
SPT(16)	2087757189441892513	0 4 10 30 46 48 54 76 108 130 136 138 154 174 180 184	-305196418324
SPT(16)	2087757431807549123	0 20 84 86 108 110 174 180 224 230 294 296 318 320 384 404	-62830761714
STPT(10)	2087757687350631419	0 2 12 14 30 32 48 50 60 62	192712320582
STPT(10)	2087757689715547151	0 2 30 32 78 80 126 128 156 158	195077236314
SPT(16)	2087758199255128649	0 2 8 30 42 60 84 120 152 188 212 230 242 264 270 272	704616817812
STPT(10)	2087758295842706699	0 2 42 44 60 62 78 80 120 122	801204395862
TPT(14)	2087758639068155609	0 2 12 14 90 92 132 134 138 140 318 320 360 362	1144429844772