Prime p₀= 122410680546354719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 40 2 16 2 40 2 16 2 (?)
a_n: 0 2 72 74 78 80 120 122 138 140 180 182 198 200
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: 200
Found by: Agus
db: batch=67, k=14, 70 4 40 16 40 16

SPT(16)	122410559264829289	0 4 24 34 70 94 100 108 160 168 174 198 234 244 264 268	-121281525430
SPT(14)	122410565551368691	0 16 58 78 100 108 126 262 280 288 310 330 372 388	-114994986028
TPT(12)	122410567498455329	0 2 30 32 60 62 78 80 90 92 240 242	-113047899390
TPT(12)	122410570129709177	0 2 24 26 42 44 54 56 114 116 162 164	-110416645542
SPT(14)	122410623064965121	0 46 60 76 82 90 96 112 118 126 132 148 162 208	-57481389598
SPT(14)	122410641834933143	0 6 14 60 74 80 84 86 90 96 110 156 164 170	-38711421576
SPT(14)	122410684838468393	0 48 68 80 90 104 134 180 210 224 234 246 266 314	4292113674
SPT(14)	122410690811680949	0 2 12 30 54 68 72 80 84 98 122 140 150 152	10265326230
SPT(14)	122410693378120709	0 38 44 60 92 104 144 188 228 240 272 288 294 332	12831765990
SPT(14)	122410695839504099	0 14 20 54 60 84 98 114 128 152 158 192 198 212	15293149380
SPT(20)	122410722437449637	0 2 6 14 24 32 36 44 50 74 132 156 162 170 174 182 192 200 204 206	41891094918