Prime p₀= 2164340764495037459 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 10 2 28 2 106 2 40 2 (?)
a_n: 0 2 42 44 48 50 60 62 90 92 198 200 240 242
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: 242
Found by: JayPi
db: batch=81, k=14, 40 4 10 28 106 40

SPT(16)	2164339286262512407	0 34 42 46 66 76 132 142 144 154 210 220 240 244 252 286	-1478232525052
STPT(10)	2164339471690133831	0 2 30 32 60 62 90 92 120 122	-1292804903628
TPT(14)	2164340094195809681	0 2 30 32 48 50 156 158 216 218 348 350 438 440	-670299227778
SPT(16)	2164340359238301529	0 42 70 82 84 88 112 124 138 150 174 178 180 192 220 262	-405256735930
STPT(10)	2164340565109714001	0 2 6 8 48 50 90 92 96 98	-199385323458
SPT(18)	2164340734975438753	0 4 40 108 126 130 144 178 186 208 216 250 264 268 286 354 390 394	-29519598706
TPT(14)	2164341014406220499	0 2 78 80 120 122 168 170 192 194 300 302 378 380	249911183040
SPT(16)	2164341171705185443	0 6 40 78 88 166 190 208 216 234 258 336 346 384 418 424	407210147984
SPT(16)	2164341335859550483	0 10 30 54 58 84 94 100 168 174 184 210 214 238 258 268	571364513024
STPT(10)	2164341341172407399	0 2 30 32 60 62 90 92 120 122	576677369940
STPT(10)	2164341389830382219	0 2 30 32 120 122 210 212 240 242	625335344760