Prime p₀= 1290136684802031767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: mikey
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1290135811469352971	0 32 36 56 132 146 242 252 260 270 366 380 456 476 480 512	-873332678796
SPT(16)	1290135881207248813	0 40 48 58 70 124 168 180 184 196 240 294 306 316 324 364	-803594782954
SPT(16)	1290136170379647341	0 18 20 56 60 78 90 116 192 218 230 248 252 288 290 308	-514422384426
TPT(14)	1290136390594987631	0 2 48 50 66 68 78 80 120 122 150 152 168 170	-294207044136
SPT(18)	1290136656425308733	0 66 126 144 150 170 198 210 216 248 254 266 294 314 320 338 398 464	-28376723034
SPT(16)	1290136662491519737	0 10 30 72 94 100 126 142 144 160 186 192 214 256 276 286	-22310512030
STPT(10)	1290136721835647429	0 2 78 80 120 122 162 164 240 242	37033615662
SPT(16)	1290136983097220299	0 4 18 72 82 100 138 160 192 214 252 270 280 334 348 352	298295188532
TPT(14)	1290137038323461831	0 2 60 62 96 98 150 152 156 158 198 200 240 242	353521430064
STPT(10)	1290137297389319549	0 2 18 20 30 32 42 44 60 62	612587287782
SPT(16)	1290137379981965149	0 10 12 42 162 202 208 274 318 384 390 430 550 580 582 592	695179933382