Prime p₀= 2391587104195516559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 10 2 28 2 10 2 58 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 132 134 192 194
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: 194
Found by: Conan
db: batch=81, k=14, 46 28 10 28 10 58

STPT(10)	2391586287432945917	0 2 30 32 72 74 114 116 144 146	-816762570642
SPT(16)	2391586657193499853	0 28 58 66 84 94 96 118 156 178 180 190 208 216 246 274	-447002016706
STPT(10)	2391586734175937717	0 2 42 44 72 74 102 104 144 146	-370019578842
STPT(10)	2391586754401496549	0 2 18 20 60 62 102 104 120 122	-349794020010
SPT(16)	2391586812516482939	0 50 72 80 102 144 150 158 204 212 218 260 282 290 312 362	-291679033620
SPT(16)	2391586907256786191	0 12 36 66 68 86 108 116 162 170 192 210 212 242 266 278	-196938730368
SPT(16)	2391587117028383117	0 42 50 56 60 84 96 110 126 140 152 176 180 186 194 236	12832866558
STPT(10)	2391588087434305997	0 2 12 14 42 44 72 74 84 86	983238789438
STPT(10)	2391588250591729307	0 2 24 26 42 44 60 62 84 86	1146396212748
STPT(10)	2391588436676919671	0 2 36 38 78 80 120 122 156 158	1332481403112
STPT(10)	2391588481344798521	0 2 30 32 60 62 90 92 120 122	1377149281962