Prime p₀= 2246716041285035867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 52 2 34 2 118 2 10 2 (?)
a_n: 0 2 24 26 30 32 84 86 120 122 240 242 252 254
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: Penguin
db: batch=81, k=14, 22 4 52 34 118 10

STPT(10)	2246714884407398147	0 2 30 32 42 44 54 56 84 86	-1156877637720
SPT(16)	2246714998220567993	0 44 54 68 98 104 128 140 144 156 180 186 216 230 240 284	-1043064467874
STPT(10)	2246715173008223507	0 2 42 44 72 74 102 104 144 146	-868276812360
SPT(16)	2246715343386174943	0 24 34 58 126 130 174 244 270 340 384 388 456 480 490 514	-697898860924
SPT(16)	2246715382162443337	0 4 6 54 66 90 112 120 136 144 166 190 202 250 252 256	-659122592530
STPT(10)	2246715984092028929	0 2 18 20 30 32 42 44 60 62	-57193006938
STPT(10)	2246716341230902361	0 2 6 8 18 20 30 32 36 38	299945866494
STPT(10)	2246717133975986027	0 2 42 44 72 74 102 104 144 146	1092690950160
STPT(10)	2246717141758706171	0 2 36 38 78 80 120 122 156 158	1100473670304
SPT(16)	2246717246842144009	0 90 124 148 168 208 234 244 294 304 330 370 390 414 448 538	1205557108142
STPT(10)	2246717299365163307	0 2 12 14 72 74 132 134 144 146	1258080127440