Prime p₀= 4503939122905781549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 94 2 10 2 28 2 10 2 (?)
a_n: 0 2 12 14 72 74 168 170 180 182 210 212 222 224
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: 224
Found by: Stony666
db: batch=85, k=14, 10 58 94 10 28 10

STPT(10)	4503936617958256067	0 2 30 32 42 44 54 56 84 86	-2504947525482
SPT(16)	4503937304619332441	0 26 30 72 120 122 140 180 182 222 240 242 290 332 336 362	-1818286449108
SPT(16)	4503938174679958451	0 2 8 20 38 42 78 98 120 140 176 180 198 210 216 218	-948225823098
STPT(10)	4503938512899888497	0 2 30 32 42 44 54 56 84 86	-610005893052
TPT(14)	4503938634346007399	0 2 30 32 72 74 102 104 180 182 228 230 252 254	-488559774150
SPT(16)	4503938714591120179	0 4 34 84 90 112 118 162 250 294 300 322 328 378 408 412	-408314661370
SPT(18)	4503939866190560401	0 22 36 46 60 106 132 156 162 250 256 280 306 352 366 376 390 412	743284778852
SPT(16)	4503940575092053363	0 4 30 34 46 64 76 90 100 114 126 144 156 160 186 190	1452186271814
STPT(10)	4503940646968384619	0 2 48 50 90 92 132 134 180 182	1524062603070
STPT(10)	4503940657736957531	0 2 6 8 48 50 90 92 96 98	1534831175982
TPT(14)	4503940787068383809	0 2 12 14 30 32 108 110 150 152 168 170 198 200	1664162602260