Prime p₀= 2774649790900738559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2774648431990324949	0 8 14 38 44 92 132 134 168 170 210 258 264 288 294 302	-1358910413610
SPT(16)	2774649098235177623	0 18 26 50 78 80 108 120 206 218 246 248 276 300 308 326	-692665560936
STPT(10)	2774649123228951539	0 2 18 20 30 32 42 44 60 62	-667671787020
SPT(16)	2774649387382349857	0 34 46 76 90 100 112 136 150 174 186 196 210 240 252 286	-403518388702
SPT(18)	2774649460419218651	0 80 96 140 146 156 206 276 288 308 320 390 440 450 456 500 516 596	-330481519908
STPT(10)	2774649688086631049	0 2 30 32 60 62 90 92 120 122	-102814107510
SPT(16)	2774650045449082523	0 20 24 30 78 98 104 120 128 144 150 170 218 224 228 248	254548343964
TPT(14)	2774650186414158419	0 2 12 14 42 44 48 50 78 80 120 122 168 170	395513419860
SPT(16)	2774650315091140007	0 2 20 54 146 156 170 194 282 306 320 330 422 456 474 476	524190401448
SPT(16)	2774650464426539723	0 66 78 104 114 156 164 276 278 390 398 440 450 476 488 554	673525801164
STPT(10)	2774650801292117567	0 2 30 32 42 44 54 56 84 86	1010391379008