Prime p₀= 4547214812185805411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 40 2 40 2 16 2 40 2 (?)
a_n: 0 2 36 38 66 68 108 110 150 152 168 170 210 212
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: 212
Found by: Stony666
db: batch=85, k=14, 34 28 40 40 16 40

SPT(16)	4547213588782407131	0 30 36 50 92 96 116 120 158 162 182 186 228 242 248 278	-1223403398280
STPT(10)	4547213598980008469	0 2 42 44 60 62 78 80 120 122	-1213205796942
TPT(14)	4547213949223642811	0 2 78 80 90 92 156 158 168 170 186 188 210 212	-862962162600
SPT(16)	4547214193295330261	0 26 66 68 78 90 138 150 176 188 236 248 258 260 300 326	-618890475150
STPT(10)	4547214226486061099	0 2 12 14 30 32 48 50 60 62	-585699744312
SPT(16)	4547214230921247943	0 10 18 46 84 114 126 154 180 208 220 250 288 316 324 334	-581264557468
SPT(16)	4547214833704499597	0 2 12 26 42 62 86 102 224 240 264 284 300 314 324 326	21518694186
STPT(10)	4547215377484440641	0 2 36 38 78 80 120 122 156 158	565298635230
STPT(10)	4547215432504510301	0 2 6 8 48 50 90 92 96 98	620318704890
STPT(10)	4547215594712578817	0 2 30 32 42 44 54 56 84 86	782526773406
SPT(16)	4547216006504984401	0 12 18 28 46 52 70 102 106 138 156 162 180 190 196 208	1194319178990