Prime p₀= 2146222833025380677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2146221658266900853	0 16 30 36 58 64 100 106 108 114 150 156 178 184 198 214	-1174758479824
SPT(18)	2146221997525321241	0 8 18 30 32 42 242 260 270 308 318 336 536 546 548 560 570 578	-835500059436
SPT(16)	2146222096745138233	0 6 30 66 118 154 174 288 316 430 450 486 538 574 598 604	-736280242444
STPT(10)	2146222345408706861	0 2 6 8 18 20 30 32 36 38	-487616673816
SPT(16)	2146222494521895467	0 32 42 56 110 122 144 146 270 272 294 306 360 374 384 416	-338503485210
SPT(16)	2146222630279329071	0 8 26 32 116 140 152 162 176 186 198 222 306 312 330 338	-202746051606
SPT(16)	2146223541579170507	0 2 12 20 42 54 62 90 146 174 182 194 216 224 234 236	708553789830
SPT(16)	2146223654380456067	0 26 36 42 44 104 110 126 140 156 162 222 224 230 240 266	821355075390
STPT(10)	2146223724582551429	0 2 12 14 30 32 48 50 60 62	891557170752
STPT(10)	2146223841782308817	0 2 12 14 42 44 72 74 84 86	1008756928140
STPT(10)	2146223903793518399	0 2 42 44 90 92 138 140 180 182	1070768137722